54880400 has 30 divisors (see below), whose sum is σ = 131851122. Its totient is φ = 21952000.

The previous prime is 54880393. The next prime is 54880421. The reversal of 54880400 is 408845.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 54878464 = 44^2 + 7408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68201 + ... + 69000.

Almost surely, 2^54880400 is an apocalyptic number.

54880400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54880400 is an abundant number, since it is smaller than the sum of its proper divisors (76970722).

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

54880400 is a wasteful number, since it uses less digits than its factorization.

54880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137219 (or 137208 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 54880400 is about 7408.1306683940. The cubic root of 54880400 is about 380.0193895923.

It can be divided in two parts, 54880 and 400, that multiplied together give a cube (21952000 = 280³).

The spelling of 54880400 in words is "fifty-four million, eight hundred eighty thousand, four hundred".