54909504 has 84 divisors (see below), whose sum is σ = 169518076. Its totient is φ = 16892928.

The previous prime is 54909457. The next prime is 54909509. The reversal of 54909504 is 40590945.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 51840000 = 1752^2 + 7200^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54909509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3822 + ... + 11154.

Almost surely, 2^54909504 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 54909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84759038).

54909504 is an abundant number, since it is smaller than the sum of its proper divisors (114608572).

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

54909504 is a wasteful number, since it uses less digits than its factorization.

54909504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54909504 is about 7410.0947362365. The cubic root of 54909504 is about 380.0865546141.

The spelling of 54909504 in words is "fifty-four million, nine hundred nine thousand, five hundred four".