264690504 has 120 divisors (see below), whose sum is σ = 803126610. Its totient is φ = 81409536.

The previous prime is 264690473. The next prime is 264690523. The reversal of 264690504 is 405096462.

264690504 is a `hidden beast` number, since 2 + 64 + 6 + 90 + 504 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 209960100 + 54730404 = 14490^2 + 7398^2 .

It is a super-2 number, since 2×264690504² = 140122125815548032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 108304 + ... + 110720.

Almost surely, 2^264690504 is an apocalyptic number.

264690504 is a gapful number since it is divisible by the number (24) 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 264690504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401563305).

264690504 is an abundant number, since it is smaller than the sum of its proper divisors (538436106).

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

264690504 is a wasteful number, since it uses less digits than its factorization.

264690504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264690504 is about 16269.3117248395. The cubic root of 264690504 is about 642.0656758736.

The spelling of 264690504 in words is "two hundred sixty-four million, six hundred ninety thousand, five hundred four".