52455600 has 150 divisors (see below), whose sum is σ = 188375220. Its totient is φ = 13979520.

The previous prime is 52455593. The next prime is 52455607. The reversal of 52455600 is 655425.

52455600 is a `hidden beast` number, since 5 + 2 + 4 + 55 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (52455593) and next prime (52455607).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (52455607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31591 + ... + 33209.

Almost surely, 2^52455600 is an apocalyptic number.

52455600 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 52455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187610).

52455600 is an abundant number, since it is smaller than the sum of its proper divisors (135919620).

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

52455600 is a wasteful number, since it uses less digits than its factorization.

52455600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 52455600 is about 7242.6238339431. The cubic root of 52455600 is about 374.3380321504.

The spelling of 52455600 in words is "fifty-two million, four hundred fifty-five thousand, six hundred".