56949480 has 288 divisors, whose sum is σ = 226736640. Its totient is φ = 12597120.

The previous prime is 56949469. The next prime is 56949491. The reversal of 56949480 is 8494965.

It is a happy number.

56949480 is a `hidden beast` number, since 569 + 4 + 9 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (56949469) and next prime (56949491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1837065 + ... + 1837095.

It is an arithmetic number, because the mean of its divisors is an integer number (787280).

Almost surely, 2^56949480 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 56949480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113368320).

56949480 is an abundant number, since it is smaller than the sum of its proper divisors (169787160).

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

56949480 is an equidigital number, since it uses as much as digits as its factorization.

56949480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56949480 is about 7546.4879248562. The cubic root of 56949480 is about 384.7363799426.

The spelling of 56949480 in words is "fifty-six million, nine hundred forty-nine thousand, four hundred eighty".