56401540 has 48 divisors (see below), whose sum is σ = 129992688. Its totient is φ = 20427264.

The previous prime is 56401537. The next prime is 56401559. The reversal of 56401540 is 4510465.

56401540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2114116 + 54287424 = 1454^2 + 7368^2 .

It is a super-2 number, since 2×56401540² = 6362267428743200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11734 + ... + 15826.

It is an arithmetic number, because the mean of its divisors is an integer number (2708181).

Almost surely, 2^56401540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56401540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64996344).

56401540 is an abundant number, since it is smaller than the sum of its proper divisors (73591148).

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

56401540 is a wasteful number, since it uses less digits than its factorization.

56401540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 56401540 is about 7510.0958715585. The cubic root of 56401540 is about 383.4984862822.

The spelling of 56401540 in words is "fifty-six million, four hundred one thousand, five hundred forty".