52310400 has 96 divisors (see below), whose sum is σ = 172329000. Its totient is φ = 13946880.

The previous prime is 52310393. The next prime is 52310407. The reversal of 52310400 is 401325.

It is an interprime number because it is at equal distance from previous prime (52310393) and next prime (52310407).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52310400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52310407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6876 + ... + 12324.

Almost surely, 2^52310400 is an apocalyptic number.

52310400 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 52310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86164500).

52310400 is an abundant number, since it is smaller than the sum of its proper divisors (120018600).

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

52310400 is a wasteful number, since it uses less digits than its factorization.

52310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52310400 is about 7232.5928960505. The cubic root of 52310400 is about 373.9923168467.

Adding to 52310400 its reverse (401325), we get a palindrome (52711725).

The spelling of 52310400 in words is "fifty-two million, three hundred ten thousand, four hundred".