431639460 has 144 divisors (see below), whose sum is σ = 1518980736. Its totient is φ = 97168896.

The previous prime is 431639449. The next prime is 431639471. The reversal of 431639460 is 64936134.

It is an interprime number because it is at equal distance from previous prime (431639449) and next prime (431639471).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81864 + ... + 86976.

Almost surely, 2^431639460 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 431639460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759490368).

431639460 is an abundant number, since it is smaller than the sum of its proper divisors (1087341276).

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

431639460 is a wasteful number, since it uses less digits than its factorization.

431639460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 431639460 is about 20775.9346360158. The cubic root of 431639460 is about 755.7422695831.

The spelling of 431639460 in words is "four hundred thirty-one million, six hundred thirty-nine thousand, four hundred sixty".