268403904 has 84 divisors (see below), whose sum is σ = 782045680. Its totient is φ = 87989760.

The previous prime is 268403897. The next prime is 268403909. The reversal of 268403904 is 409304862.

It is a happy number.

268403904 is a `hidden beast` number, since 268 + 4 + 0 + 390 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268403909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31317 + ... + 38955.

Almost surely, 2^268403904 is an apocalyptic number.

268403904 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 268403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391022840).

268403904 is an abundant number, since it is smaller than the sum of its proper divisors (513641776).

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

268403904 is a wasteful number, since it uses less digits than its factorization.

268403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 268403904 is about 16383.0370810787. The cubic root of 268403904 is about 645.0543022607.

The spelling of 268403904 in words is "two hundred sixty-eight million, four hundred three thousand, nine hundred four".