54978480 has 80 divisors (see below), whose sum is σ = 189377760. Its totient is φ = 14660352.

The previous prime is 54978479. The next prime is 54978491. The reversal of 54978480 is 8487945.

54978480 is a `hidden beast` number, since 5 + 497 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×54978480² = 6045266526220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10567 + ... + 14886.

It is an arithmetic number, because the mean of its divisors is an integer number (2367222).

Almost surely, 2^54978480 is an apocalyptic number.

It is an amenable number.

54978480 is an abundant number, since it is smaller than the sum of its proper divisors (134399280).

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

54978480 is a wasteful number, since it uses less digits than its factorization.

54978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25475 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 54978480 is about 7414.7474670416. The cubic root of 54978480 is about 380.2456398864.

The spelling of 54978480 in words is "fifty-four million, nine hundred seventy-eight thousand, four hundred eighty".