464924920 has 32 divisors (see below), whose sum is σ = 1063235520. Its totient is φ = 182920320.

The previous prime is 464924903. The next prime is 464924947. The reversal of 464924920 is 29429464.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92832 + ... + 97711.

It is an arithmetic number, because the mean of its divisors is an integer number (33226110).

Almost surely, 2^464924920 is an apocalyptic number.

464924920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464924920 is an abundant number, since it is smaller than the sum of its proper divisors (598310600).

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

464924920 is a wasteful number, since it uses less digits than its factorization.

464924920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190615 (or 190611 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 464924920 is about 21562.1177067560. The cubic root of 464924920 is about 774.6893906171.

The spelling of 464924920 in words is "four hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty".