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400640450 = 252723157317
BaseRepresentation
bin10111111000010…
…100100111000010
31000220212122101012
4113320110213002
51310030443300
6103431040522
712633246650
oct2770244702
91026778335
10400640450
11196173111
12b2210142
1365006c72
143b2cddd0
152528d435
hex17e149c2

400640450 has 96 divisors (see below), whose sum is σ = 897156864. Its totient is φ = 130141440.

The previous prime is 400640447. The next prime is 400640453. The reversal of 400640450 is 54046004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400640447) and next prime (400640453).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (400640453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263692 + ... + 1264008.

It is an arithmetic number, because the mean of its divisors is an integer number (9345384).

Almost surely, 2400640450 is an apocalyptic number.

400640450 is an abundant number, since it is smaller than the sum of its proper divisors (496516414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400640450 is a wasteful number, since it uses less digits than its factorization.

400640450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 400640450 is about 20016.0048461225. The cubic root of 400640450 is about 737.1993297015.

Adding to 400640450 its reverse (54046004), we get a palindrome (454686454).

The spelling of 400640450 in words is "four hundred million, six hundred forty thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 23 25 35 46 50 70 115 157 161 175 230 314 317 322 350 575 634 785 805 1099 1150 1570 1585 1610 2198 2219 3170 3611 3925 4025 4438 5495 7222 7291 7850 7925 8050 10990 11095 14582 15850 18055 22190 25277 27475 36110 36455 49769 50554 51037 54950 55475 72910 90275 99538 102074 110950 126385 180550 182275 248845 252770 255185 348383 364550 497690 510370 631925 696766 1144687 1244225 1263850 1275925 1741915 2289374 2488450 2551850 3483830 5723435 8012809 8709575 11446870 16025618 17419150 28617175 40064045 57234350 80128090 200320225 400640450