1256504400 has 420 divisors, whose sum is σ = 4705671040. Its totient is φ = 321926400.

The previous prime is 1256504393. The next prime is 1256504429. The reversal of 1256504400 is 44056521.

1256504400 is a `hidden beast` number, since 1 + 2 + 5 + 650 + 4 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9039531 + ... + 9039669.

Almost surely, 2^1256504400 is an apocalyptic number.

1256504400 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 1256504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352835520).

1256504400 is an abundant number, since it is smaller than the sum of its proper divisors (3449166640).

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

1256504400 is a wasteful number, since it uses less digits than its factorization.

1256504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1256504400 is about 35447.2058137168. The cubic root of 1256504400 is about 1079.0825541959.

The spelling of 1256504400 in words is "one billion, two hundred fifty-six million, five hundred four thousand, four hundred".