54366480 has 360 divisors, whose sum is σ = 224932032. Its totient is φ = 11708928.

The previous prime is 54366479. The next prime is 54366497. The reversal of 54366480 is 8466345.

54366480 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811407 + ... + 811473.

Almost surely, 2^54366480 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 54366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112466016).

54366480 is an abundant number, since it is smaller than the sum of its proper divisors (170565552).

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

54366480 is a wasteful number, since it uses less digits than its factorization.

54366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54366480 is about 7373.3628691392. The cubic root of 54366480 is about 378.8294542978.

The spelling of 54366480 in words is "fifty-four million, three hundred sixty-six thousand, four hundred eighty".