54480960 has 84 divisors (see below), whose sum is σ = 187401708. Its totient is φ = 14527488.

The previous prime is 54480913. The next prime is 54480973. The reversal of 54480960 is 6908445.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 22127616 = 5688^2 + 4704^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6579 + ... + 12338.

Almost surely, 2^54480960 is an apocalyptic number.

It is an amenable number.

54480960 is an abundant number, since it is smaller than the sum of its proper divisors (132920748).

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

54480960 is a wasteful number, since it uses less digits than its factorization.

54480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54480960 is about 7381.1218659496. The cubic root of 54480960 is about 379.0951694411.

The spelling of 54480960 in words is "fifty-four million, four hundred eighty thousand, nine hundred sixty".