431019972 has 36 divisors (see below), whose sum is σ = 1153613916. Its totient is φ = 135221760.

The previous prime is 431019949. The next prime is 431019983. The reversal of 431019972 is 279910134.

It can be written as a sum of positive squares in 2 ways, for example, as 381655296 + 49364676 = 19536^2 + 7026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 351529 + ... + 352752.

It is an arithmetic number, because the mean of its divisors is an integer number (32044831).

Almost surely, 2^431019972 is an apocalyptic number.

It is an amenable number.

431019972 is an abundant number, since it is smaller than the sum of its proper divisors (722593944).

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

431019972 is a wasteful number, since it uses less digits than its factorization.

431019972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704308 (or 704303 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 431019972 is about 20761.0204951491. The cubic root of 431019972 is about 755.3805499358.

The spelling of 431019972 in words is "four hundred thirty-one million, nineteen thousand, nine hundred seventy-two".