56484120 has 128 divisors (see below), whose sum is σ = 211299840. Its totient is φ = 11735040.

The previous prime is 56484119. The next prime is 56484137. The reversal of 56484120 is 2148465.

56484120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184 + ... + 12296.

It is an arithmetic number, because the mean of its divisors is an integer number (1650780).

Almost surely, 2^56484120 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 56484120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105649920).

56484120 is an abundant number, since it is smaller than the sum of its proper divisors (154815720).

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

56484120 is a wasteful number, since it uses less digits than its factorization.

56484120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56484120 is about 7515.5917930659. The cubic root of 56484120 is about 383.6855607333.

The spelling of 56484120 in words is "fifty-six million, four hundred eighty-four thousand, one hundred twenty".