10256400 has 360 divisors, whose sum is σ = 45574464. Its totient is φ = 2073600.

The previous prime is 10256399. The next prime is 10256417. The reversal of 10256400 is 465201.

10256400 = T₄₅ + T₄₆ + ... + T₃₉₄.

It is a happy number.

10256400 is a `hidden beast` number, since 1 + 0 + 25 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 277182 + ... + 277218.

Almost surely, 2^10256400 is an apocalyptic number.

10256400 is a gapful number since it is divisible by the number (10) 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 10256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787232).

10256400 is an abundant number, since it is smaller than the sum of its proper divisors (35318064).

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

10256400 is a wasteful number, since it uses less digits than its factorization.

10256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10256400 is about 3202.5614748198. The cubic root of 10256400 is about 217.2692757462.

The spelling of 10256400 in words is "ten million, two hundred fifty-six thousand, four hundred".