431431056 has 160 divisors (see below), whose sum is σ = 1477048320. Its totient is φ = 117887616.

The previous prime is 431431051. The next prime is 431431097. The reversal of 431431056 is 650134134.

It is a super-2 number, since 2×431431056² = 372265512162550272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (431431051) 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, 66451 + ... + 72653.

It is an arithmetic number, because the mean of its divisors is an integer number (9231552).

Almost surely, 2^431431056 is an apocalyptic number.

431431056 is a gapful number since it is divisible by the number (46) 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 431431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738524160).

431431056 is an abundant number, since it is smaller than the sum of its proper divisors (1045617264).

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

431431056 is a wasteful number, since it uses less digits than its factorization.

431431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 431431056 is about 20770.9185160406. The cubic root of 431431056 is about 755.6206209377.

The spelling of 431431056 in words is "four hundred thirty-one million, four hundred thirty-one thousand, fifty-six".