52451200 has 96 divisors (see below), whose sum is σ = 133373160. Its totient is φ = 20367360.

The previous prime is 52451167. The next prime is 52451207. The reversal of 52451200 is 215425.

It is a super-2 number, since 2×52451200² = 5502256762880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52451207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118179 + ... + 118621.

Almost surely, 2^52451200 is an apocalyptic number.

52451200 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 52451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66686580).

52451200 is an abundant number, since it is smaller than the sum of its proper divisors (80921960).

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

52451200 is a wasteful number, since it uses less digits than its factorization.

52451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 52451200 is about 7242.3200702537. The cubic root of 52451200 is about 374.3275653087.

Adding to 52451200 its reverse (215425), we get a palindrome (52666625).

The spelling of 52451200 in words is "fifty-two million, four hundred fifty-one thousand, two hundred".