56657460 has 96 divisors (see below), whose sum is σ = 166182912. Its totient is φ = 14405760.

The previous prime is 56657459. The next prime is 56657467. The reversal of 56657460 is 6475665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56657467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154197 + ... + 154563.

It is an arithmetic number, because the mean of its divisors is an integer number (1731072).

Almost surely, 2^56657460 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 56657460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83091456).

56657460 is an abundant number, since it is smaller than the sum of its proper divisors (109525452).

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

56657460 is a wasteful number, since it uses less digits than its factorization.

56657460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 56657460 is about 7527.1149851719. The cubic root of 56657460 is about 384.0776481433.

The spelling of 56657460 in words is "fifty-six million, six hundred fifty-seven thousand, four hundred sixty".