431670272 has 88 divisors (see below), whose sum is σ = 991403040. Its totient is φ = 185794560.

The previous prime is 431670271. The next prime is 431670293. The reversal of 431670272 is 272076134.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (431670271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213008 + ... + 215024.

Almost surely, 2^431670272 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 431670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495701520).

431670272 is an abundant number, since it is smaller than the sum of its proper divisors (559732768).

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

431670272 is a wasteful number, since it uses less digits than its factorization.

431670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 431670272 is about 20776.6761538029. The cubic root of 431670272 is about 755.7602517023.

The spelling of 431670272 in words is "four hundred thirty-one million, six hundred seventy thousand, two hundred seventy-two".