256103400 has 288 divisors, whose sum is σ = 956724480. Its totient is φ = 56448000.

The previous prime is 256103387. The next prime is 256103417. The reversal of 256103400 is 4301652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911260 + ... + 911540.

It is an arithmetic number, because the mean of its divisors is an integer number (3321960).

Almost surely, 2^256103400 is an apocalyptic number.

256103400 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 256103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478362240).

256103400 is an abundant number, since it is smaller than the sum of its proper divisors (700621080).

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

256103400 is a wasteful number, since it uses less digits than its factorization.

256103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 256103400 is about 16003.2309237854. The cubic root of 256103400 is about 635.0458974409.

The spelling of 256103400 in words is "two hundred fifty-six million, one hundred three thousand, four hundred".