264973280 has 192 divisors, whose sum is σ = 757729728. Its totient is φ = 86261760.

The previous prime is 264973279. The next prime is 264973333. The reversal of 264973280 is 82379462.

It is a happy number.

It is a super-2 number, since 2×264973280² = 140421678227916800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846404 + ... + 846716.

It is an arithmetic number, because the mean of its divisors is an integer number (3946509).

Almost surely, 2^264973280 is an apocalyptic number.

264973280 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 264973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378864864).

264973280 is an abundant number, since it is smaller than the sum of its proper divisors (492756448).

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

264973280 is a wasteful number, since it uses less digits than its factorization.

264973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 264973280 is about 16277.9998771348. Note that the first 3 decimals coincide. The cubic root of 264973280 is about 642.2942398552.

The spelling of 264973280 in words is "two hundred sixty-four million, nine hundred seventy-three thousand, two hundred eighty".