56148480 has 120 divisors (see below), whose sum is σ = 194537772. Its totient is φ = 14966784.

The previous prime is 56148419. The next prime is 56148527. The reversal of 56148480 is 8484165.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 2214144 = 7344^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21822 + ... + 24258.

Almost surely, 2^56148480 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 56148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97268886).

56148480 is an abundant number, since it is smaller than the sum of its proper divisors (138389292).

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

56148480 is a wasteful number, since it uses less digits than its factorization.

56148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56148480 is about 7493.2289435196. The cubic root of 56148480 is about 382.9240715080.

The spelling of 56148480 in words is "fifty-six million, one hundred forty-eight thousand, four hundred eighty".