252001280 has 88 divisors (see below), whose sum is σ = 612822672. Its totient is φ = 99418112.

The previous prime is 252001279. The next prime is 252001283. The reversal of 252001280 is 82100252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424664 + ... + 425256.

It is an arithmetic number, because the mean of its divisors is an integer number (6963894).

Almost surely, 2^252001280 is an apocalyptic number.

252001280 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 252001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306411336).

252001280 is an abundant number, since it is smaller than the sum of its proper divisors (360821392).

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

252001280 is an equidigital number, since it uses as much as digits as its factorization.

252001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 252001280 is about 15874.5481825468. The cubic root of 252001280 is about 631.6370292004.

The spelling of 252001280 in words is "two hundred fifty-two million, one thousand, two hundred eighty".