53348416 has 63 divisors (see below), whose sum is σ = 117780943. Its totient is φ = 23957120.

The previous prime is 53348411. The next prime is 53348417. The reversal of 53348416 is 61484335.

It is a happy number.

The square root of 53348416 is 7304.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53348411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 642711 + ... + 642793.

Almost surely, 2^53348416 is an apocalyptic number.

53348416 is the 7304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53348416

53348416 is an abundant number, since it is smaller than the sum of its proper divisors (64432527).

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

53348416 is an equidigital number, since it uses as much as digits as its factorization.

53348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 96 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The cubic root of 53348416 is about 376.4498915399.

The spelling of 53348416 in words is "fifty-three million, three hundred forty-eight thousand, four hundred sixteen".