252417088 has 224 divisors, whose sum is σ = 695236608. Its totient is φ = 87859200.

The previous prime is 252417049. The next prime is 252417089. The reversal of 252417088 is 880714252.

252417088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252417089) 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 31 ways as a sum of consecutive naturals, for example, 1926783 + ... + 1926913.

Almost surely, 2^252417088 is an apocalyptic number.

252417088 is a gapful number since it is divisible by the number (28) 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 252417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347618304).

252417088 is an abundant number, since it is smaller than the sum of its proper divisors (442819520).

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

252417088 is a wasteful number, since it uses less digits than its factorization.

252417088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 252417088 is about 15887.6394722438. The cubic root of 252417088 is about 631.9842435852.

The spelling of 252417088 in words is "two hundred fifty-two million, four hundred seventeen thousand, eighty-eight".