53388384 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 14956032.

The previous prime is 53388367. The next prime is 53388389. The reversal of 53388384 is 48388335.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53388384² = 5700639092262912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53388389) 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 15 ways as a sum of consecutive naturals, for example, 34867 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^53388384 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 53388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

53388384 is an abundant number, since it is smaller than the sum of its proper divisors (109907616).

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

53388384 is a wasteful number, since it uses less digits than its factorization.

53388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1564 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 53388384 is about 7306.7355227899. The cubic root of 53388384 is about 376.5438786692.

The spelling of 53388384 in words is "fifty-three million, three hundred eighty-eight thousand, three hundred eighty-four".