54464520 has 160 divisors (see below), whose sum is σ = 185529600. Its totient is φ = 12777600.

The previous prime is 54464519. The next prime is 54464533. The reversal of 54464520 is 2546445.

54464520 = 610² + 611² + ... + 730².

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1756905 + ... + 1756935.

It is an arithmetic number, because the mean of its divisors is an integer number (1159560).

Almost surely, 2^54464520 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 54464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92764800).

54464520 is an abundant number, since it is smaller than the sum of its proper divisors (131065080).

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

54464520 is a wasteful number, since it uses less digits than its factorization.

54464520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 54464520 is about 7380.0081300768. The cubic root of 54464520 is about 379.0570340903.

The spelling of 54464520 in words is "fifty-four million, four hundred sixty-four thousand, five hundred twenty".