431772352 has 56 divisors (see below), whose sum is σ = 937516032. Its totient is φ = 195667200.

The previous prime is 431772347. The next prime is 431772373. The reversal of 431772352 is 253277134.

It is a super-2 number, since 2×431772352² = 372854727903223808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302713 + ... + 304135.

Almost surely, 2^431772352 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 431772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468758016).

431772352 is an abundant number, since it is smaller than the sum of its proper divisors (505743680).

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

431772352 is a wasteful number, since it uses less digits than its factorization.

431772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 431772352 is about 20779.1326094233. The cubic root of 431772352 is about 755.8198202597.

The spelling of 431772352 in words is "four hundred thirty-one million, seven hundred seventy-two thousand, three hundred fifty-two".