54489600 has 360 divisors, whose sum is σ = 217678032. Its totient is φ = 12902400.

The previous prime is 54489593. The next prime is 54489623. The reversal of 54489600 is 698445.

54489600 is a `hidden beast` number, since 5 + 4 + 48 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1267179 + ... + 1267221.

Almost surely, 2^54489600 is an apocalyptic number.

54489600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108839016).

54489600 is an abundant number, since it is smaller than the sum of its proper divisors (163188432).

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

54489600 is a wasteful number, since it uses less digits than its factorization.

54489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54489600 is about 7381.7071196303. The cubic root of 54489600 is about 379.1152083020.

The spelling of 54489600 in words is "fifty-four million, four hundred eighty-nine thousand, six hundred".