264924920 has 64 divisors (see below), whose sum is σ = 650160000. Its totient is φ = 96565248.

The previous prime is 264924917. The next prime is 264924941. The reversal of 264924920 is 29429462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37856 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (10158750).

Almost surely, 2^264924920 is an apocalyptic number.

264924920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325080000).

264924920 is an abundant number, since it is smaller than the sum of its proper divisors (385235080).

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

264924920 is a wasteful number, since it uses less digits than its factorization.

264924920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 264924920 is about 16276.5143688690. The cubic root of 264924920 is about 642.2551626581.

The spelling of 264924920 in words is "two hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty".