53516400 has 240 divisors, whose sum is σ = 205177344. Its totient is φ = 11658240.

The previous prime is 53516399. The next prime is 53516413. The reversal of 53516400 is 461535.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193062 + ... + 193338.

Almost surely, 2^53516400 is an apocalyptic number.

53516400 is a gapful number since it is divisible by the number (50) 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 53516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102588672).

53516400 is an abundant number, since it is smaller than the sum of its proper divisors (151660944).

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

53516400 is a wasteful number, since it uses less digits than its factorization.

53516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53516400 is about 7315.4904141828. The cubic root of 53516400 is about 376.8446005419.

Adding to 53516400 its reverse (461535), we get a palindrome (53977935).

The spelling of 53516400 in words is "fifty-three million, five hundred sixteen thousand, four hundred".