431278992 has 200 divisors, whose sum is σ = 1307148480. Its totient is φ = 137168640.

The previous prime is 431278987. The next prime is 431278997. The reversal of 431278992 is 299872134.

It is an interprime number because it is at equal distance from previous prime (431278987) and next prime (431278997).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (217728) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (431278997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3956634 + ... + 3956742.

Almost surely, 2^431278992 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 431278992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653574240).

431278992 is an abundant number, since it is smaller than the sum of its proper divisors (875869488).

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

431278992 is a wasteful number, since it uses less digits than its factorization.

431278992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 431278992 is about 20767.2576908941. The cubic root of 431278992 is about 755.5318341008.

The spelling of 431278992 in words is "four hundred thirty-one million, two hundred seventy-eight thousand, nine hundred ninety-two".