252289408 has 96 divisors (see below), whose sum is σ = 595561680. Its totient is φ = 104279040.

The previous prime is 252289403. The next prime is 252289463. The reversal of 252289408 is 804982252.

It is a happy number.

252289408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252289403) 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, 860910 + ... + 861202.

Almost surely, 2^252289408 is an apocalyptic number.

252289408 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 252289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297780840).

252289408 is an abundant number, since it is smaller than the sum of its proper divisors (343272272).

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

252289408 is an equidigital number, since it uses as much as digits as its factorization.

252289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 252289408 is about 15883.6207459131. The cubic root of 252289408 is about 631.8776668631.

The spelling of 252289408 in words is "two hundred fifty-two million, two hundred eighty-nine thousand, four hundred eight".