252340000 has 240 divisors, whose sum is σ = 717970176. Its totient is φ = 86400000.

The previous prime is 252339947. The next prime is 252340001. The reversal of 252340000 is 43252.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6819982 + ... + 6820018.

Almost surely, 2^252340000 is an apocalyptic number.

252340000 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 252340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358985088).

252340000 is an abundant number, since it is smaller than the sum of its proper divisors (465630176).

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

252340000 is a wasteful number, since it uses less digits than its factorization.

252340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 252340000 is about 15885.2132500637. The cubic root of 252340000 is about 631.9199011878.

Adding to 252340000 its reverse (43252), we get a palindrome (252383252).

The spelling of 252340000 in words is "two hundred fifty-two million, three hundred forty thousand".