54409920 has 168 divisors, whose sum is σ = 183483504. Its totient is φ = 13658112.

The previous prime is 54409913. The next prime is 54409931. The reversal of 54409920 is 2990445.

54409920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346482 + ... + 346638.

Almost surely, 2^54409920 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 54409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91741752).

54409920 is an abundant number, since it is smaller than the sum of its proper divisors (129073584).

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

54409920 is a wasteful number, since it uses less digits than its factorization.

54409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 54409920 is about 7376.3080195990. The cubic root of 54409920 is about 378.9303250944.

The spelling of 54409920 in words is "fifty-four million, four hundred nine thousand, nine hundred twenty".