52417600 has 63 divisors (see below), whose sum is σ = 129696591. Its totient is φ = 20851200.

The previous prime is 52417597. The next prime is 52417601. The reversal of 52417600 is 671425.

The square root of 52417600 is 7240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 24285184 = 5304^2 + 4928^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52417601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289510 + ... + 289690.

Almost surely, 2^52417600 is an apocalyptic number.

52417600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52417600 is the 7240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52417600

52417600 is an abundant number, since it is smaller than the sum of its proper divisors (77278991).

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

52417600 is an equidigital number, since it uses as much as digits as its factorization.

52417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 52417600 is about 374.2476173899.

Multiplying 52417600 by its sum of digits (25), we get a square (1310440000 = 36200²).

52417600 divided by its sum of digits (25) gives a square (2096704 = 1448²).

The spelling of 52417600 in words is "fifty-two million, four hundred seventeen thousand, six hundred".