431345952 has 96 divisors (see below), whose sum is σ = 1270805760. Its totient is φ = 142329600.

The previous prime is 431345939. The next prime is 431345989. The reversal of 431345952 is 259543134.

431345952 is a `hidden beast` number, since 4 + 31 + 34 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 84793 + ... + 89735.

It is an arithmetic number, because the mean of its divisors is an integer number (13237560).

Almost surely, 2^431345952 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 431345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635402880).

431345952 is an abundant number, since it is smaller than the sum of its proper divisors (839459808).

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

431345952 is a wasteful number, since it uses less digits than its factorization.

431345952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5049 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 431345952 is about 20768.8697814782. The cubic root of 431345952 is about 755.5709331485.

The spelling of 431345952 in words is "four hundred thirty-one million, three hundred forty-five thousand, nine hundred fifty-two".