268956400 has 120 divisors (see below), whose sum is σ = 696840320. Its totient is φ = 99429120.

The previous prime is 268956383. The next prime is 268956421. The reversal of 268956400 is 4659862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326389 + ... + 327211.

Almost surely, 2^268956400 is an apocalyptic number.

268956400 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 268956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348420160).

268956400 is an abundant number, since it is smaller than the sum of its proper divisors (427883920).

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

268956400 is a wasteful number, since it uses less digits than its factorization.

268956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 268956400 is about 16399.8902435352. The cubic root of 268956400 is about 645.4966029113.

The spelling of 268956400 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand, four hundred".