252229460 has 72 divisors (see below), whose sum is σ = 620333280. Its totient is φ = 85893696.

The previous prime is 252229457. The next prime is 252229463. The reversal of 252229460 is 64922252.

252229460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252229457) and next prime (252229463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252229463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158951 + ... + 160529.

It is an arithmetic number, because the mean of its divisors is an integer number (8615740).

Almost surely, 2^252229460 is an apocalyptic number.

252229460 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 252229460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310166640).

252229460 is an abundant number, since it is smaller than the sum of its proper divisors (368103820).

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

252229460 is a wasteful number, since it uses less digits than its factorization.

252229460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 252229460 is about 15881.7335325839. The cubic root of 252229460 is about 631.8276148173.

The spelling of 252229460 in words is "two hundred fifty-two million, two hundred twenty-nine thousand, four hundred sixty".