1256072400 has 480 divisors, whose sum is σ = 4972598400. Its totient is φ = 298598400.

The previous prime is 1256072393. The next prime is 1256072401. The reversal of 1256072400 is 42706521.

1256072400 is a `hidden beast` number, since 1 + 256 + 0 + 7 + 2 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256072401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11523546 + ... + 11523654.

It is an arithmetic number, because the mean of its divisors is an integer number (10359580).

Almost surely, 2^1256072400 is an apocalyptic number.

1256072400 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 1256072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486299200).

1256072400 is an abundant number, since it is smaller than the sum of its proper divisors (3716526000).

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

1256072400 is a wasteful number, since it uses less digits than its factorization.

1256072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1256072400 is about 35441.1117207121. Note that the first 3 decimals coincide. The cubic root of 1256072400 is about 1078.9588732130.

Adding to 1256072400 its reverse (42706521), we get a palindrome (1298778921).

The spelling of 1256072400 in words is "one billion, two hundred fifty-six million, seventy-two thousand, four hundred".