268031400 has 192 divisors, whose sum is σ = 1022851200. Its totient is φ = 56540160.

The previous prime is 268031389. The next prime is 268031411. The reversal of 268031400 is 4130862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268031389) and next prime (268031411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52146 + ... + 57054.

It is an arithmetic number, because the mean of its divisors is an integer number (5327350).

Almost surely, 2^268031400 is an apocalyptic number.

268031400 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 268031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511425600).

268031400 is an abundant number, since it is smaller than the sum of its proper divisors (754819800).

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

268031400 is a wasteful number, since it uses less digits than its factorization.

268031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268031400 is about 16371.6645457937. The cubic root of 268031400 is about 644.7557515195.

It can be divided in two parts, 26803 and 1400, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 268031400 in words is "two hundred sixty-eight million, thirty-one thousand, four hundred".