431872896 has 256 divisors, whose sum is σ = 1497000960. Its totient is φ = 107053056.

The previous prime is 431872871. The next prime is 431872897. The reversal of 431872896 is 698278134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431872897) 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, 593685 + ... + 594411.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^431872896 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 431872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

431872896 is an abundant number, since it is smaller than the sum of its proper divisors (1065128064).

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

431872896 is a wasteful number, since it uses less digits than its factorization.

431872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 431872896 is about 20781.5518188609. The cubic root of 431872896 is about 755.8784833104.

The spelling of 431872896 in words is "four hundred thirty-one million, eight hundred seventy-two thousand, eight hundred ninety-six".