56960480 has 96 divisors (see below), whose sum is σ = 145424160. Its totient is φ = 21012480.

The previous prime is 56960459. The next prime is 56960543. The reversal of 56960480 is 8406965.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124412 + ... + 124868.

It is an arithmetic number, because the mean of its divisors is an integer number (1514835).

Almost surely, 2^56960480 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 56960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712080).

56960480 is an abundant number, since it is smaller than the sum of its proper divisors (88463680).

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

56960480 is a wasteful number, since it uses less digits than its factorization.

56960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 56960480 is about 7547.2167055147. The cubic root of 56960480 is about 384.7611494268.

The spelling of 56960480 in words is "fifty-six million, nine hundred sixty thousand, four hundred eighty".