53439264 has 120 divisors (see below), whose sum is σ = 160540380. Its totient is φ = 17432064.

The previous prime is 53439241. The next prime is 53439283. The reversal of 53439264 is 46293435.

53439264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 32400 = 7308^2 + 180^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 137182 + ... + 137570.

Almost surely, 2^53439264 is an apocalyptic number.

53439264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53439264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80270190).

53439264 is an abundant number, since it is smaller than the sum of its proper divisors (107101116).

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

53439264 is a wasteful number, since it uses less digits than its factorization.

53439264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53439264 is about 7310.2164126652. The cubic root of 53439264 is about 376.6634581744.

The spelling of 53439264 in words is "fifty-three million, four hundred thirty-nine thousand, two hundred sixty-four".