268632400 has 30 divisors (see below), whose sum is σ = 645390302. Its totient is φ = 107452800.

The previous prime is 268632389. The next prime is 268632409. The reversal of 268632400 is 4236862.

It can be written as a sum of positive squares in 3 ways, for example, as 10837264 + 257795136 = 3292^2 + 16056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268632409) 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, 335391 + ... + 336190.

Almost surely, 2^268632400 is an apocalyptic number.

268632400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268632400 is an abundant number, since it is smaller than the sum of its proper divisors (376757902).

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

268632400 is a wasteful number, since it uses less digits than its factorization.

268632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671599 (or 671588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 268632400 is about 16390.0091519193. The cubic root of 268632400 is about 645.2372982600.

The spelling of 268632400 in words is "two hundred sixty-eight million, six hundred thirty-two thousand, four hundred".