52412800 has 96 divisors (see below), whose sum is σ = 141341400. Its totient is φ = 19046400.

The previous prime is 52412761. The next prime is 52412803. The reversal of 52412800 is 821425.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52412803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34456 + ... + 35944.

Almost surely, 2^52412800 is an apocalyptic number.

52412800 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 52412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670700).

52412800 is an abundant number, since it is smaller than the sum of its proper divisors (88928600).

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

52412800 is a wasteful number, since it uses less digits than its factorization.

52412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 52412800 is about 7239.6685006981. The cubic root of 52412800 is about 374.2361934700.

The spelling of 52412800 in words is "fifty-two million, four hundred twelve thousand, eight hundred".