56455960 has 64 divisors (see below), whose sum is σ = 143078400. Its totient is φ = 19862400.

The previous prime is 56455957. The next prime is 56455967. The reversal of 56455960 is 6955465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56455967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11571 + ... + 15709.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 2^56455960 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 56455960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539200).

56455960 is an abundant number, since it is smaller than the sum of its proper divisors (86622440).

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

56455960 is a wasteful number, since it uses less digits than its factorization.

56455960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 56455960 is about 7513.7181208773. The cubic root of 56455960 is about 383.6217883467.

The spelling of 56455960 in words is "fifty-six million, four hundred fifty-five thousand, nine hundred sixty".