431426160 has 480 divisors, whose sum is σ = 1727032320. Its totient is φ = 95385600.

The previous prime is 431426159. The next prime is 431426161. The reversal of 431426160 is 61624134.

431426160 is a `hidden beast` number, since 4 + 3 + 1 + 42 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (431426159) and next prime (431426161).

It is a super-2 number, since 2×431426160² = 372257063064691200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431426161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7072530 + ... + 7072590.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^431426160 is an apocalyptic number.

431426160 is a gapful number since it is divisible by the number (40) 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 431426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

431426160 is an abundant number, since it is smaller than the sum of its proper divisors (1295606160).

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

431426160 is a wasteful number, since it uses less digits than its factorization.

431426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 431426160 is about 20770.8006586169. The cubic root of 431426160 is about 755.6177625957.

The spelling of 431426160 in words is "four hundred thirty-one million, four hundred twenty-six thousand, one hundred sixty".