268262400 has 264 divisors, whose sum is σ = 1015312000. Its totient is φ = 61194240.

The previous prime is 268262399. The next prime is 268262411. The reversal of 268262400 is 4262862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537351 + ... + 537849.

Almost surely, 2^268262400 is an apocalyptic number.

268262400 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 268262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507656000).

268262400 is an abundant number, since it is smaller than the sum of its proper divisors (747049600).

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

268262400 is a wasteful number, since it uses less digits than its factorization.

268262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 268262400 is about 16378.7178985414. The cubic root of 268262400 is about 644.9409236200.

The spelling of 268262400 in words is "two hundred sixty-eight million, two hundred sixty-two thousand, four hundred".