54180456 has 64 divisors (see below), whose sum is σ = 154206720. Its totient is φ = 15702720.

The previous prime is 54180443. The next prime is 54180481. The reversal of 54180456 is 65408145.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611 + ... + 10533.

It is an arithmetic number, because the mean of its divisors is an integer number (2409480).

Almost surely, 2^54180456 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 54180456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77103360).

54180456 is an abundant number, since it is smaller than the sum of its proper divisors (100026264).

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

54180456 is a wasteful number, since it uses less digits than its factorization.

54180456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 54180456 is about 7360.7374630535. The cubic root of 54180456 is about 378.3968844492.

The spelling of 54180456 in words is "fifty-four million, one hundred eighty thousand, four hundred fifty-six".