252023280 has 160 divisors (see below), whose sum is σ = 813215808. Its totient is φ = 64512000.

The previous prime is 252023237. The next prime is 252023281. The reversal of 252023280 is 82320252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252023280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252023281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896740 + ... + 897020.

Almost surely, 2^252023280 is an apocalyptic number.

252023280 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 252023280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406607904).

252023280 is an abundant number, since it is smaller than the sum of its proper divisors (561192528).

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

252023280 is a wasteful number, since it uses less digits than its factorization.

252023280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

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

The square root of 252023280 is about 15875.2411005314. The cubic root of 252023280 is about 631.6554095439.

It can be divided in two parts, 25202 and 3280, that added together give a palindrome (28482).

The spelling of 252023280 in words is "two hundred fifty-two million, twenty-three thousand, two hundred eighty".