431029088 has 72 divisors (see below), whose sum is σ = 1021280400. Its totient is φ = 178338048.

The previous prime is 431029073. The next prime is 431029097. The reversal of 431029088 is 880920134.

It is a happy number.

It is a super-2 number, since 2×431029088² = 371572149404223488, which contains 22 as substring.

It is a congruent number.

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, 40733 + ... + 50211.

It is an arithmetic number, because the mean of its divisors is an integer number (14184450).

Almost surely, 2^431029088 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 431029088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510640200).

431029088 is an abundant number, since it is smaller than the sum of its proper divisors (590251312).

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

431029088 is a wasteful number, since it uses less digits than its factorization.

431029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 431029088 is about 20761.2400400361. The cubic root of 431029088 is about 755.3858752889.

The spelling of 431029088 in words is "four hundred thirty-one million, twenty-nine thousand, eighty-eight".