252221460 has 48 divisors (see below), whose sum is σ = 718200000. Its totient is φ = 66118144.

The previous prime is 252221449. The next prime is 252221467. The reversal of 252221460 is 64122252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252221460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252221467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32085 + ... + 39164.

It is an arithmetic number, because the mean of its divisors is an integer number (14962500).

Almost surely, 2^252221460 is an apocalyptic number.

252221460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252221460 is an abundant number, since it is smaller than the sum of its proper divisors (465978540).

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

252221460 is a wasteful number, since it uses less digits than its factorization.

252221460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71320 (or 71318 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252221460 is about 15881.4816689124. The cubic root of 252221460 is about 631.8209348226.

The spelling of 252221460 in words is "two hundred fifty-two million, two hundred twenty-one thousand, four hundred sixty".