53408256 has 160 divisors (see below), whose sum is σ = 162043200. Its totient is φ = 15482880.

The previous prime is 53408249. The next prime is 53408263. The reversal of 53408256 is 65280435.

It is an interprime number because it is at equal distance from previous prime (53408249) and next prime (53408263).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 489930 + ... + 490038.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 2^53408256 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 53408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81021600).

53408256 is an abundant number, since it is smaller than the sum of its proper divisors (108634944).

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

53408256 is a wasteful number, since it uses less digits than its factorization.

53408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 53408256 is about 7308.0952374747. The cubic root of 53408256 is about 376.5905914008.

The spelling of 53408256 in words is "fifty-three million, four hundred eight thousand, two hundred fifty-six".