54924480 has 280 divisors, whose sum is σ = 211695792. Its totient is φ = 13436928.

The previous prime is 54924413. The next prime is 54924511. The reversal of 54924480 is 8442945.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336879 + ... + 337041.

Almost surely, 2^54924480 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 54924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105847896).

54924480 is an abundant number, since it is smaller than the sum of its proper divisors (156771312).

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

54924480 is a wasteful number, since it uses less digits than its factorization.

54924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54924480 is about 7411.1051807406. The cubic root of 54924480 is about 380.1211063669.

It can be divided in two parts, 549 and 24480, that multiplied together give a triangular number (13439520 = T₅₁₈₄).

The spelling of 54924480 in words is "fifty-four million, nine hundred twenty-four thousand, four hundred eighty".