431410252 has 48 divisors (see below), whose sum is σ = 935233600. Its totient is φ = 169558272.

The previous prime is 431410201. The next prime is 431410303. The reversal of 431410252 is 252014134.

It is an interprime number because it is at equal distance from previous prime (431410201) and next prime (431410303).

It is a super-2 number, since 2×431410252² = 372229611061407008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53374 + ... + 60922.

Almost surely, 2^431410252 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 431410252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467616800).

431410252 is an abundant number, since it is smaller than the sum of its proper divisors (503823348).

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

431410252 is a wasteful number, since it uses less digits than its factorization.

431410252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 431410252 is about 20770.4177136619. The cubic root of 431410252 is about 755.6084751701.

Adding to 431410252 its reverse (252014134), we get a palindrome (683424386).

The spelling of 431410252 in words is "four hundred thirty-one million, four hundred ten thousand, two hundred fifty-two".