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470799400 = 235210092333
BaseRepresentation
bin11100000011111…
…101010000101000
31012210220002100211
4130003331100220
51431011040100
6114414510504
714444505001
oct3403752050
91183802324
10470799400
11221832615
12111805434
13766ccc36
14467541a8
152b4eb1ba
hex1c0fd428

470799400 has 48 divisors (see below), whose sum is σ = 1096163100. Its totient is φ = 188052480.

The previous prime is 470799353. The next prime is 470799401. The reversal of 470799400 is 4997074.

It can be written as a sum of positive squares in 6 ways, for example, as 94361796 + 376437604 = 9714^2 + 19402^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (470799401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200634 + ... + 202966.

Almost surely, 2470799400 is an apocalyptic number.

470799400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470799400 is an abundant number, since it is smaller than the sum of its proper divisors (625363700).

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

470799400 is a wasteful number, since it uses less digits than its factorization.

470799400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 470799400 is about 21697.9123419743. The cubic root of 470799400 is about 777.9385628292.

The spelling of 470799400 in words is "four hundred seventy million, seven hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1009 2018 2333 4036 4666 5045 8072 9332 10090 11665 18664 20180 23330 25225 40360 46660 50450 58325 93320 100900 116650 201800 233300 466600 2353997 4707994 9415988 11769985 18831976 23539970 47079940 58849925 94159880 117699850 235399700 470799400