431426268 has 144 divisors (see below), whose sum is σ = 1360020480. Its totient is φ = 112275072.

The previous prime is 431426209. The next prime is 431426269. The reversal of 431426268 is 862624134.

It is a super-3 number, since 3×431426268³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431426269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257971 + ... + 259637.

Almost surely, 2^431426268 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 431426268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680010240).

431426268 is an abundant number, since it is smaller than the sum of its proper divisors (928594212).

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

431426268 is a wasteful number, since it uses less digits than its factorization.

431426268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1771 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 431426268 is about 20770.8032584202. The cubic root of 431426268 is about 755.6178256476.

The spelling of 431426268 in words is "four hundred thirty-one million, four hundred twenty-six thousand, two hundred sixty-eight".