52451600 has 30 divisors (see below), whose sum is σ = 126015930. Its totient is φ = 20980480.

The previous prime is 52451599. The next prime is 52451603. The reversal of 52451600 is 615425.

It can be written as a sum of positive squares in 3 ways, for example, as 8202496 + 44249104 = 2864^2 + 6652^2 .

It is not an unprimeable number, because it can be changed into a prime (52451603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65165 + ... + 65964.

It is an arithmetic number, because the mean of its divisors is an integer number (4200531).

Almost surely, 2^52451600 is an apocalyptic number.

52451600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52451600 is an abundant number, since it is smaller than the sum of its proper divisors (73564330).

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

52451600 is a wasteful number, since it uses less digits than its factorization.

52451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131147 (or 131136 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52451600 is about 7242.3476856611. The cubic root of 52451600 is about 374.3285168639.

The spelling of 52451600 in words is "fifty-two million, four hundred fifty-one thousand, six hundred".