431655672 has 64 divisors (see below), whose sum is σ = 1262004480. Its totient is φ = 120460032.

The previous prime is 431655671. The next prime is 431655673. The reversal of 431655672 is 276556134.

It is an interprime number because it is at equal distance from previous prime (431655671) and next prime (431655673).

It is a self number, because there is not a number n which added to its sum of digits gives 431655672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431655671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22653 + ... + 37100.

It is an arithmetic number, because the mean of its divisors is an integer number (19718820).

Almost surely, 2^431655672 is an apocalyptic number.

431655672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

431655672 is an abundant number, since it is smaller than the sum of its proper divisors (830348808).

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

431655672 is a wasteful number, since it uses less digits than its factorization.

431655672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59812 (or 59808 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 431655672 is about 20776.3247953049. The cubic root of 431655672 is about 755.7517311372.

The spelling of 431655672 in words is "four hundred thirty-one million, six hundred fifty-five thousand, six hundred seventy-two".