56471400 has 144 divisors (see below), whose sum is σ = 191868300. Its totient is φ = 14883840.

The previous prime is 56471377. The next prime is 56471431. The reversal of 56471400 is 417465.

56471400 is a `hidden beast` number, since 5 + 647 + 14 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37234404 + 19236996 = 6102^2 + 4386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246486 + ... + 246714.

Almost surely, 2^56471400 is an apocalyptic number.

56471400 is a gapful number since it is divisible by the number (50) 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 56471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95934150).

56471400 is an abundant number, since it is smaller than the sum of its proper divisors (135396900).

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

56471400 is a wasteful number, since it uses less digits than its factorization.

56471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

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

The square root of 56471400 is about 7514.7455046728. The cubic root of 56471400 is about 383.6567570818.

Adding to 56471400 its reverse (417465), we get a palindrome (56888865).

The spelling of 56471400 in words is "fifty-six million, four hundred seventy-one thousand, four hundred".