431413392 has 160 divisors (see below), whose sum is σ = 1241349120. Its totient is φ = 128494080.

The previous prime is 431413361. The next prime is 431413393. The reversal of 431413392 is 293314134.

It is a super-2 number, since 2×431413392² = 372235029593891328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431413393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2747778 + ... + 2747934.

It is an arithmetic number, because the mean of its divisors is an integer number (7758432).

Almost surely, 2^431413392 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 431413392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620674560).

431413392 is an abundant number, since it is smaller than the sum of its proper divisors (809935728).

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

431413392 is a wasteful number, since it uses less digits than its factorization.

431413392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 431413392 is about 20770.4933017971. The cubic root of 431413392 is about 755.6103083864.

The spelling of 431413392 in words is "four hundred thirty-one million, four hundred thirteen thousand, three hundred ninety-two".