54870480 has 320 divisors, whose sum is σ = 228556800. Its totient is φ = 11819520.

The previous prime is 54870467. The next prime is 54870493. The reversal of 54870480 is 8407845.

54870480 is a `hidden beast` number, since 548 + 70 + 48 + 0 = 666.

54870480 is a nontrivial binomial coefficient, being equal to C(192, 4).

It is an interprime number because it is at equal distance from previous prime (54870467) and next prime (54870493).

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 63 ways as a sum of consecutive naturals, for example, 287185 + ... + 287375.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^54870480 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 54870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114278400).

54870480 is an abundant number, since it is smaller than the sum of its proper divisors (173686320).

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

54870480 is a wasteful number, since it uses less digits than its factorization.

54870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54870480 is about 7407.4611035091. The cubic root of 54870480 is about 379.9964911957.

The spelling of 54870480 in words is "fifty-four million, eight hundred seventy thousand, four hundred eighty".