431434056 has 64 divisors (see below), whose sum is σ = 1117255680. Its totient is φ = 138743360.

The previous prime is 431434043. The next prime is 431434061. The reversal of 431434056 is 650434134.

It is a super-2 number, since 2×431434056² = 372270689353222272, 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, 77395 + ... + 82781.

It is an arithmetic number, because the mean of its divisors is an integer number (17457120).

Almost surely, 2^431434056 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 431434056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558627840).

431434056 is an abundant number, since it is smaller than the sum of its proper divisors (685821624).

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

431434056 is a wasteful number, since it uses less digits than its factorization.

431434056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 431434056 is about 20770.9907322689. The cubic root of 431434056 is about 755.6223723621.

The spelling of 431434056 in words is "four hundred thirty-one million, four hundred thirty-four thousand, fifty-six".