252425160 has 240 divisors, whose sum is σ = 920705940. Its totient is φ = 62000640.

The previous prime is 252425153. The next prime is 252425171. The reversal of 252425160 is 61524252.

It can be written as a sum of positive squares in 6 ways, for example, as 13351716 + 239073444 = 3654^2 + 15462^2 .

It is a super-2 number, since 2×252425160² = 127436922802051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547330 + ... + 547790.

Almost surely, 2^252425160 is an apocalyptic number.

252425160 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 252425160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460352970).

252425160 is an abundant number, since it is smaller than the sum of its proper divisors (668280780).

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

252425160 is a wasteful number, since it uses less digits than its factorization.

252425160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252425160 is about 15887.8935041748. The cubic root of 252425160 is about 631.9909802163.

The spelling of 252425160 in words is "two hundred fifty-two million, four hundred twenty-five thousand, one hundred sixty".