268404800 has 84 divisors (see below), whose sum is σ = 664250640. Its totient is φ = 106744320.

The previous prime is 268404767. The next prime is 268404853. The reversal of 268404800 is 8404862.

It is a super-2 number, since 2×268404800² = 144082273326080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362831 + ... + 363569.

Almost surely, 2^268404800 is an apocalyptic number.

268404800 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 268404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332125320).

268404800 is an abundant number, since it is smaller than the sum of its proper divisors (395845840).

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

268404800 is a wasteful number, since it uses less digits than its factorization.

268404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 268404800 is about 16383.0644264130. The cubic root of 268404800 is about 645.0550200446.

The spelling of 268404800 in words is "two hundred sixty-eight million, four hundred four thousand, eight hundred".