52200456 has 128 divisors (see below), whose sum is σ = 166440960. Its totient is φ = 13248000.

The previous prime is 52200433. The next prime is 52200457. The reversal of 52200456 is 65400225.

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 (52200457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86556 + ... + 87156.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 2^52200456 is an apocalyptic number.

52200456 is a gapful number since it is divisible by the number (56) 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 52200456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83220480).

52200456 is an abundant number, since it is smaller than the sum of its proper divisors (114240504).

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

52200456 is a wasteful number, since it uses less digits than its factorization.

52200456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 52200456 is about 7224.9883044888. The cubic root of 52200456 is about 373.7301188144.

The spelling of 52200456 in words is "fifty-two million, two hundred thousand, four hundred fifty-six".