52579800 has 384 divisors, whose sum is σ = 224985600. Its totient is φ = 10990080.

The previous prime is 52579789. The next prime is 52579801. The reversal of 52579800 is 897525.

52579800 is a `hidden beast` number, since 5 + 2 + 579 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52579801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491347 + ... + 491453.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^52579800 is an apocalyptic number.

52579800 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 52579800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

52579800 is an abundant number, since it is smaller than the sum of its proper divisors (172405800).

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

52579800 is a wasteful number, since it uses less digits than its factorization.

52579800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 52579800 is about 7251.1930052923. The cubic root of 52579800 is about 374.6332414187.

The spelling of 52579800 in words is "fifty-two million, five hundred seventy-nine thousand, eight hundred".