431247872 has 60 divisors (see below), whose sum is σ = 947242758. Its totient is φ = 195993600.

The previous prime is 431247863. The next prime is 431247937. The reversal of 431247872 is 278742134.

It can be written as a sum of positive squares in only one way, i.e., 315986176 + 115261696 = 17776^2 + 10736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58472 + ... + 65432.

Almost surely, 2^431247872 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 431247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473621379).

431247872 is an abundant number, since it is smaller than the sum of its proper divisors (515994886).

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

431247872 is an equidigital number, since it uses as much as digits as its factorization.

431247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6974 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 431247872 is about 20766.5084210129. The cubic root of 431247872 is about 755.5136612424.

The spelling of 431247872 in words is "four hundred thirty-one million, two hundred forty-seven thousand, eight hundred seventy-two".