54096480 has 72 divisors (see below), whose sum is σ = 184609152. Its totient is φ = 14425344.

The previous prime is 54096473. The next prime is 54096481. The reversal of 54096480 is 8469045.

54096480 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 648 + 0 = 666.

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

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 (54096481) 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, 17344 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (2564016).

Almost surely, 2^54096480 is an apocalyptic number.

It is an amenable number.

54096480 is an abundant number, since it is smaller than the sum of its proper divisors (130512672).

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

54096480 is a wasteful number, since it uses less digits than its factorization.

54096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37588 (or 37577 counting only the distinct ones).

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

The square root of 54096480 is about 7355.0309312742. The cubic root of 54096480 is about 378.2012869326.

It can be divided in two parts, 540 and 96480, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 54096480 in words is "fifty-four million, ninety-six thousand, four hundred eighty".