252029760 has 112 divisors (see below), whose sum is σ = 847319616. Its totient is φ = 63250432.

The previous prime is 252029711. The next prime is 252029779. The reversal of 252029760 is 67920252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8599 + ... + 24041.

Almost surely, 2^252029760 is an apocalyptic number.

252029760 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 252029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423659808).

252029760 is an abundant number, since it is smaller than the sum of its proper divisors (595289856).

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

252029760 is a wasteful number, since it uses less digits than its factorization.

252029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 252029760 is about 15875.4451906080. The cubic root of 252029760 is about 631.6608231866.

The spelling of 252029760 in words is "two hundred fifty-two million, twenty-nine thousand, seven hundred sixty".