54486432 has 432 divisors, whose sum is σ = 219596832. Its totient is φ = 13063680.

The previous prime is 54486427. The next prime is 54486449. The reversal of 54486432 is 23468445.

54486432 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (92160) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191258 + ... + 4191270.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^54486432 is an apocalyptic number.

54486432 is a gapful number since it is divisible by the number (52) 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 54486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

54486432 is an abundant number, since it is smaller than the sum of its proper divisors (165110400).

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

54486432 is a wasteful number, since it uses less digits than its factorization.

54486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 54486432 is about 7381.4925320019. The cubic root of 54486432 is about 379.1078609657.

The spelling of 54486432 in words is "fifty-four million, four hundred eighty-six thousand, four hundred thirty-two".