252114432 has 80 divisors (see below), whose sum is σ = 676718592. Its totient is φ = 83404800.

The previous prime is 252114419. The next prime is 252114451. The reversal of 252114432 is 234411252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231393 + ... + 232479.

Almost surely, 2^252114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338359296).

252114432 is an abundant number, since it is smaller than the sum of its proper divisors (424604160).

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

252114432 is a wasteful number, since it uses less digits than its factorization.

252114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1243 counting only the distinct ones).

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

The square root of 252114432 is about 15878.1117265247. Note that the first 3 decimals coincide. The cubic root of 252114432 is about 631.7315529248.

Adding to 252114432 its reverse (234411252), we get a palindrome (486525684).

The spelling of 252114432 in words is "two hundred fifty-two million, one hundred fourteen thousand, four hundred thirty-two".