54468000 has 288 divisors, whose sum is σ = 206977680. Its totient is φ = 13516800.

The previous prime is 54467989. The next prime is 54468013. The reversal of 54468000 is 86445.

It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 53056656 = 1188^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611956 + ... + 612044.

Almost surely, 2^54468000 is an apocalyptic number.

54468000 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 54468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

54468000 is an abundant number, since it is smaller than the sum of its proper divisors (152509680).

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

54468000 is a wasteful number, since it uses less digits than its factorization.

54468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54468000 is about 7380.2438984088. The cubic root of 54468000 is about 379.0651071770.

The spelling of 54468000 in words is "fifty-four million, four hundred sixty-eight thousand".