54846432 has 72 divisors (see below), whose sum is σ = 160216056. Its totient is φ = 17784576.

The previous prime is 54846431. The next prime is 54846499. The reversal of 54846432 is 23464845.

54846432 is a `hidden beast` number, since 5 + 4 + 8 + 4 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54846432² = 6016262206261248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54846431) 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, 8083 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (2225223).

Almost surely, 2^54846432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54846432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80108028).

54846432 is an abundant number, since it is smaller than the sum of its proper divisors (105369624).

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

54846432 is a wasteful number, since it uses less digits than its factorization.

54846432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5189 counting only the distinct ones).

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

The square root of 54846432 is about 7405.8376973844. The cubic root of 54846432 is about 379.9409695932.

It can be divided in two parts, 54846 and 432, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54846432 in words is "fifty-four million, eight hundred forty-six thousand, four hundred thirty-two".