252435300 has 144 divisors (see below), whose sum is σ = 793282560. Its totient is φ = 61975680.

The previous prime is 252435283. The next prime is 252435301. The reversal of 252435300 is 3534252.

It is not an unprimeable number, because it can be changed into a prime (252435301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658909 + ... + 659291.

Almost surely, 2^252435300 is an apocalyptic number.

252435300 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 252435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396641280).

252435300 is an abundant number, since it is smaller than the sum of its proper divisors (540847260).

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

252435300 is a wasteful number, since it uses less digits than its factorization.

252435300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 252435300 is about 15888.2126118705. The cubic root of 252435300 is about 631.9994425301. Note that the first 3 decimals are identical.

Adding to 252435300 its reverse (3534252), we get a palindrome (255969552).

The spelling of 252435300 in words is "two hundred fifty-two million, four hundred thirty-five thousand, three hundred".