252416000 has 208 divisors, whose sum is σ = 690009840. Its totient is φ = 91750400.

The previous prime is 252415951. The next prime is 252416011. The reversal of 252416000 is 614252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46895104 + 205520896 = 6848^2 + 14336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8703986 + ... + 8704014.

It is an arithmetic number, because the mean of its divisors is an integer number (3317355).

Almost surely, 2^252416000 is an apocalyptic number.

252416000 is a gapful number since it is divisible by the number (20) 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 252416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345004920).

252416000 is an abundant number, since it is smaller than the sum of its proper divisors (437593840).

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

252416000 is an equidigital number, since it uses as much as digits as its factorization.

252416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 252416000 is about 15887.6052317522. The cubic root of 252416000 is about 631.9833355644.

The spelling of 252416000 in words is "two hundred fifty-two million, four hundred sixteen thousand".