474576900 has 72 divisors (see below), whose sum is σ = 1569274560. Its totient is φ = 108474240.

The previous prime is 474576899. The next prime is 474576901. The reversal of 474576900 is 9675474.

474576900 = 1559² + 1560² + ... + 1733².

It is an interprime number because it is at equal distance from previous prime (474576899) and next prime (474576901).

It is a super-2 number, since 2×474576900² = 450446468027220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (474576901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110895 + ... + 115094.

It is an arithmetic number, because the mean of its divisors is an integer number (21795480).

Almost surely, 2^474576900 is an apocalyptic number.

It is an amenable number.

474576900 is an abundant number, since it is smaller than the sum of its proper divisors (1094697660).

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

474576900 is a wasteful number, since it uses less digits than its factorization.

474576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226013 (or 226006 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 474576900 is about 21784.7859755381. The cubic root of 474576900 is about 780.0136421020.

The spelling of 474576900 in words is "four hundred seventy-four million, five hundred seventy-six thousand, nine hundred".