54966304 has 48 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 25519104.

The previous prime is 54966277. The next prime is 54966313. The reversal of 54966304 is 40366945.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42337 + ... + 43615.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^54966304 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 54966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

54966304 is an abundant number, since it is smaller than the sum of its proper divisors (61155296).

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

54966304 is a wasteful number, since it uses less digits than its factorization.

54966304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 54966304 is about 7413.9263551778. The cubic root of 54966304 is about 380.2175670068.

The spelling of 54966304 in words is "fifty-four million, nine hundred sixty-six thousand, three hundred four".