52814400 has 84 divisors (see below), whose sum is σ = 173290992. Its totient is φ = 14082560.

The previous prime is 52814389. The next prime is 52814407. The reversal of 52814400 is 441825.

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

It is not an unprimeable number, because it can be changed into a prime (52814407) 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, 702 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (2062988).

Almost surely, 2^52814400 is an apocalyptic number.

52814400 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 52814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86645496).

52814400 is an abundant number, since it is smaller than the sum of its proper divisors (120476592).

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

52814400 is a wasteful number, since it uses less digits than its factorization.

52814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 52814400 is about 7267.3516496727. The cubic root of 52814400 is about 375.1895930180.

The spelling of 52814400 in words is "fifty-two million, eight hundred fourteen thousand, four hundred".