52714800 has 150 divisors (see below), whose sum is σ = 189305468. Its totient is φ = 14048640.

The previous prime is 52714799. The next prime is 52714801. The reversal of 52714800 is 841725.

It is an interprime number because it is at equal distance from previous prime (52714799) and next prime (52714801).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52714801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31587 + ... + 33213.

Almost surely, 2^52714800 is an apocalyptic number.

52714800 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 52714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94652734).

52714800 is an abundant number, since it is smaller than the sum of its proper divisors (136590668).

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

52714800 is a wasteful number, since it uses less digits than its factorization.

52714800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52714800 is about 7260.4958508355. The cubic root of 52714800 is about 374.9535942576.

The spelling of 52714800 in words is "fifty-two million, seven hundred fourteen thousand, eight hundred".