53300904 has 48 divisors (see below), whose sum is σ = 137748960. Its totient is φ = 17186400.

The previous prime is 53300903. The next prime is 53300917. The reversal of 53300904 is 40900335.

53300904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53300903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21909 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (2869770).

Almost surely, 2^53300904 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 53300904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874480).

53300904 is an abundant number, since it is smaller than the sum of its proper divisors (84448056).

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

53300904 is a wasteful number, since it uses less digits than its factorization.

53300904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 53300904 is about 7300.7468111146. The cubic root of 53300904 is about 376.3381031562.

The spelling of 53300904 in words is "fifty-three million, three hundred thousand, nine hundred four".