53876400 has 240 divisors, whose sum is σ = 193737600. Its totient is φ = 12718080.

The previous prime is 53876399. The next prime is 53876401. The reversal of 53876400 is 467835.

It is an interprime number because it is at equal distance from previous prime (53876399) and next prime (53876401).

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

It is not an unprimeable number, because it can be changed into a prime (53876401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387531 + ... + 387669.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^53876400 is an apocalyptic number.

53876400 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 53876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

53876400 is an abundant number, since it is smaller than the sum of its proper divisors (139861200).

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

53876400 is a wasteful number, since it uses less digits than its factorization.

53876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53876400 is about 7340.0544957105. The cubic root of 53876400 is about 377.6877127343.

The spelling of 53876400 in words is "fifty-three million, eight hundred seventy-six thousand, four hundred".