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400574970 = 23452917053
BaseRepresentation
bin10111111000000…
…100100111111010
31000220202022120000
4113320010213322
51310021344340
6103425413430
712632555025
oct2770044772
91026668500
10400574970
111961289a4
12b219a276
1364cb3213
143b2b41bc
1525278d30
hex17e049fa

400574970 has 80 divisors (see below), whose sum is σ = 1114308360. Its totient is φ = 103130496.

The previous prime is 400574959. The next prime is 400575001. The reversal of 400574970 is 79475004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 302029641 + 98545329 = 17379^2 + 9927^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14964 + ... + 32016.

Almost surely, 2400574970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400574970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557154180).

400574970 is an abundant number, since it is smaller than the sum of its proper divisors (713733390).

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

400574970 is a wasteful number, since it uses less digits than its factorization.

400574970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17101 (or 17092 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 400574970 is about 20014.3690882326. The cubic root of 400574970 is about 737.1591653079.

The spelling of 400574970 in words is "four hundred million, five hundred seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 17053 23490 34106 51159 85265 102318 153477 170530 255795 306954 460431 494537 511590 767385 920862 989074 1381293 1483611 1534770 2302155 2472685 2762586 2967222 4450833 4604310 4945370 6906465 7418055 8901666 13352499 13812930 14836110 22254165 26704998 40057497 44508330 66762495 80114994 133524990 200287485 400574970