431052272 has 160 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 164229120.

The previous prime is 431052263. The next prime is 431052277. The reversal of 431052272 is 272250134.

It is a super-2 number, since 2×431052272² = 371612122392723968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431052277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3954554 + ... + 3954662.

It is an arithmetic number, because the mean of its divisors is an integer number (6678144).

Almost surely, 2^431052272 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 431052272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

431052272 is an abundant number, since it is smaller than the sum of its proper divisors (637450768).

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

431052272 is a wasteful number, since it uses less digits than its factorization.

431052272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 431052272 is about 20761.7983806798. The cubic root of 431052272 is about 755.3994184987.

The spelling of 431052272 in words is "four hundred thirty-one million, fifty-two thousand, two hundred seventy-two".