268790400 has 480 divisors, whose sum is σ = 1067459580. Its totient is φ = 66355200.

The previous prime is 268790393. The next prime is 268790407. The reversal of 268790400 is 4097862.

It is an interprime number because it is at equal distance from previous prime (268790393) and next prime (268790407).

It can be written as a sum of positive squares in 6 ways, for example, as 59351616 + 209438784 = 7704^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (268790407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406370 + ... + 4406430.

Almost surely, 2^268790400 is an apocalyptic number.

268790400 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 268790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533729790).

268790400 is an abundant number, since it is smaller than the sum of its proper divisors (798669180).

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

268790400 is a wasteful number, since it uses less digits than its factorization.

268790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 268790400 is about 16394.8284528994. The cubic root of 268790400 is about 645.3637753248.

The spelling of 268790400 in words is "two hundred sixty-eight million, seven hundred ninety thousand, four hundred".