54132480 has 216 divisors, whose sum is σ = 193869312. Its totient is φ = 13934592.

The previous prime is 54132469. The next prime is 54132487. The reversal of 54132480 is 8423145.

54132480 is a `hidden beast` number, since 5 + 413 + 248 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54132487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426177 + ... + 426303.

Almost surely, 2^54132480 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 54132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96934656).

54132480 is an abundant number, since it is smaller than the sum of its proper divisors (139736832).

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

54132480 is a wasteful number, since it uses less digits than its factorization.

54132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54132480 is about 7357.4778287128. The cubic root of 54132480 is about 378.2851631677.

The spelling of 54132480 in words is "fifty-four million, one hundred thirty-two thousand, four hundred eighty".