264764500 has 288 divisors, whose sum is σ = 811609344. Its totient is φ = 72864000.

The previous prime is 264764497. The next prime is 264764527. The reversal of 264764500 is 5467462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11511489 + ... + 11511511.

It is an arithmetic number, because the mean of its divisors is an integer number (2818088).

Almost surely, 2^264764500 is an apocalyptic number.

264764500 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 264764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405804672).

264764500 is an abundant number, since it is smaller than the sum of its proper divisors (546844844).

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

264764500 is a wasteful number, since it uses less digits than its factorization.

264764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 264764500 is about 16271.5856633581. The cubic root of 264764500 is about 642.1255015498.

It can be divided in two parts, 26476 and 4500, that added together give a square (30976 = 176²).

The spelling of 264764500 in words is "two hundred sixty-four million, seven hundred sixty-four thousand, five hundred".