264696400 has 30 divisors (see below), whose sum is σ = 635934062. Its totient is φ = 105878400.

The previous prime is 264696371. The next prime is 264696403. The reversal of 264696400 is 4696462.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 263997504 = 836^2 + 16248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264696400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264696403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330471 + ... + 331270.

Almost surely, 2^264696400 is an apocalyptic number.

264696400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264696400 is an abundant number, since it is smaller than the sum of its proper divisors (371237662).

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

264696400 is a wasteful number, since it uses less digits than its factorization.

264696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661759 (or 661748 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 264696400 is about 16269.4929238744. The cubic root of 264696400 is about 642.0704431912.

The spelling of 264696400 in words is "two hundred sixty-four million, six hundred ninety-six thousand, four hundred".