264744920 has 64 divisors (see below), whose sum is σ = 651939840. Its totient is φ = 95958400.

The previous prime is 264744877. The next prime is 264744923. The reversal of 264744920 is 29447462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264744923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167735 + ... + 169305.

It is an arithmetic number, because the mean of its divisors is an integer number (10186560).

Almost surely, 2^264744920 is an apocalyptic number.

264744920 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 264744920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325969920).

264744920 is an abundant number, since it is smaller than the sum of its proper divisors (387194920).

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

264744920 is a wasteful number, since it uses less digits than its factorization.

264744920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 264744920 is about 16270.9839899128. The cubic root of 264744920 is about 642.1096722282.

The spelling of 264744920 in words is "two hundred sixty-four million, seven hundred forty-four thousand, nine hundred twenty".