252147840 has 256 divisors, whose sum is σ = 934744320. Its totient is φ = 56623104.

The previous prime is 252147839. The next prime is 252147853. The reversal of 252147840 is 48741252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980992 + ... + 981248.

It is an arithmetic number, because the mean of its divisors is an integer number (3651345).

Almost surely, 2^252147840 is an apocalyptic number.

252147840 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 252147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467372160).

252147840 is an abundant number, since it is smaller than the sum of its proper divisors (682596480).

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

252147840 is a wasteful number, since it uses less digits than its factorization.

252147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 252147840 is about 15879.1637059387. The cubic root of 252147840 is about 631.7594555395.

The spelling of 252147840 in words is "two hundred fifty-two million, one hundred forty-seven thousand, eight hundred forty".