252840700 has 54 divisors (see below), whose sum is σ = 628090008. Its totient is φ = 86544000.

The previous prime is 252840641. The next prime is 252840701. The reversal of 252840700 is 7048252.

252840700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252840701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 420400 + ... + 421000.

Almost surely, 2^252840700 is an apocalyptic number.

252840700 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 252840700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314045004).

252840700 is an abundant number, since it is smaller than the sum of its proper divisors (375249308).

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

252840700 is an equidigital number, since it uses as much as digits as its factorization.

252840700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 252840700 is about 15900.9653794982. The cubic root of 252840700 is about 632.3375826936.

Multiplying 252840700 by its sum of digits (28), we get a square (7079539600 = 84140²).

252840700 divided by its sum of digits (28) gives a square (9030025 = 3005²).

Adding to 252840700 its reverse (7048252), we get a palindrome (259888952).

The spelling of 252840700 in words is "two hundred fifty-two million, eight hundred forty thousand, seven hundred".