264572440 has 64 divisors (see below), whose sum is σ = 658380960. Its totient is φ = 94878720.

The previous prime is 264572431. The next prime is 264572443. The reversal of 264572440 is 44275462.

It is a junction number, because it is equal to n+sod(n) for n = 264572396 and 264572405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264572443) 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 15 ways as a sum of consecutive naturals, for example, 28002 + ... + 36238.

Almost surely, 2^264572440 is an apocalyptic number.

264572440 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 264572440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329190480).

264572440 is an abundant number, since it is smaller than the sum of its proper divisors (393808520).

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

264572440 is a wasteful number, since it uses less digits than its factorization.

264572440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 264572440 is about 16265.6828937490. The cubic root of 264572440 is about 641.9701981812.

The spelling of 264572440 in words is "two hundred sixty-four million, five hundred seventy-two thousand, four hundred forty".