252600720 has 160 divisors (see below), whose sum is σ = 830518272. Its totient is φ = 63376896.

The previous prime is 252600661. The next prime is 252600781. The reversal of 252600720 is 27006252.

252600720 = 3303² + 3304² + ... + 3325².

252600720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252600720³ (a number of 26 digits) contains 333 as substring.

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

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, 369499 + ... + 370181.

Almost surely, 2^252600720 is an apocalyptic number.

252600720 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 252600720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415259136).

252600720 is an abundant number, since it is smaller than the sum of its proper divisors (577917552).

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

252600720 is a wasteful number, since it uses less digits than its factorization.

252600720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252600720 is about 15893.4175053700. The cubic root of 252600720 is about 632.1374614205.

Adding to 252600720 its reverse (27006252), we get a palindrome (279606972).

The spelling of 252600720 in words is "two hundred fifty-two million, six hundred thousand, seven hundred twenty".