54672408 has 160 divisors (see below), whose sum is σ = 185565600. Its totient is φ = 14681088.

The previous prime is 54672383. The next prime is 54672463. The reversal of 54672408 is 80427645.

54672408 is a `hidden beast` number, since 546 + 72 + 40 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76758 + ... + 77466.

It is an arithmetic number, because the mean of its divisors is an integer number (1159785).

Almost surely, 2^54672408 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 54672408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92782800).

54672408 is an abundant number, since it is smaller than the sum of its proper divisors (130893192).

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

54672408 is a wasteful number, since it uses less digits than its factorization.

54672408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54672408 is about 7394.0792530240. The cubic root of 54672408 is about 379.5387015476.

It can be divided in two parts, 5467 and 2408, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 54672408 in words is "fifty-four million, six hundred seventy-two thousand, four hundred eight".