54564480 has 96 divisors (see below), whose sum is σ = 188437860. Its totient is φ = 14548992.

The previous prime is 54564479. The next prime is 54564493. The reversal of 54564480 is 8446545.

54564480 is a `hidden beast` number, since 5 + 4 + 5 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 3069504 = 7176^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 1024 + ... + 10496.

Almost surely, 2^54564480 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 54564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94218930).

54564480 is an abundant number, since it is smaller than the sum of its proper divisors (133873380).

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

54564480 is a wasteful number, since it uses less digits than its factorization.

54564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54564480 is about 7386.7773758250. Note that the first 3 decimals coincide. The cubic root of 54564480 is about 379.2887897621.

It can be divided in two parts, 545 and 64480, that added together give a square (65025 = 255²).

The spelling of 54564480 in words is "fifty-four million, five hundred sixty-four thousand, four hundred eighty".