268190400 has 168 divisors, whose sum is σ = 895746240. Its totient is φ = 70231040.

The previous prime is 268190387. The next prime is 268190443. The reversal of 268190400 is 4091862.

268190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 282727 + ... + 283673.

Almost surely, 2^268190400 is an apocalyptic number.

268190400 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 268190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447873120).

268190400 is an abundant number, since it is smaller than the sum of its proper divisors (627555840).

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

268190400 is a wasteful number, since it uses less digits than its factorization.

268190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 268190400 is about 16376.5197768024. The cubic root of 268190400 is about 644.8832190473.

The spelling of 268190400 in words is "two hundred sixty-eight million, one hundred ninety thousand, four hundred".