431834960 has 120 divisors (see below), whose sum is σ = 1070509608. Its totient is φ = 161894400.

The previous prime is 431834951. The next prime is 431834971. The reversal of 431834960 is 69438134.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 428821264 = 1736^2 + 20708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3152012 + ... + 3152148.

Almost surely, 2^431834960 is an apocalyptic number.

431834960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535254804).

431834960 is an abundant number, since it is smaller than the sum of its proper divisors (638674648).

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

431834960 is a wasteful number, since it uses less digits than its factorization.

431834960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 431834960 is about 20780.6390662078. The cubic root of 431834960 is about 755.8563503741.

The spelling of 431834960 in words is "four hundred thirty-one million, eight hundred thirty-four thousand, nine hundred sixty".