54704400 has 60 divisors (see below), whose sum is σ = 175240272. Its totient is φ = 14587520.

The previous prime is 54704399. The next prime is 54704407. The reversal of 54704400 is 440745.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54704407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21594 + ... + 23993.

Almost surely, 2^54704400 is an apocalyptic number.

54704400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54704400 is an abundant number, since it is smaller than the sum of its proper divisors (120535872).

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

54704400 is a wasteful number, since it uses less digits than its factorization.

54704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45608 (or 45597 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 54704400 is about 7396.2422891628. The cubic root of 54704400 is about 379.6127171555.

It can be divided in two parts, 5470 and 4400, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 54704400 in words is "fifty-four million, seven hundred four thousand, four hundred".