431897832 has 80 divisors (see below), whose sum is σ = 1212819300. Its totient is φ = 143596800.

The previous prime is 431897831. The next prime is 431897833. The reversal of 431897832 is 238798134.

It is an interprime number because it is at equal distance from previous prime (431897831) and next prime (431897833).

It can be written as a sum of positive squares in 2 ways, for example, as 423289476 + 8608356 = 20574^2 + 2934^2 .

Its product of digits (290304) is a multiple of the sum of its prime factors (1728).

It is not an unprimeable number, because it can be changed into a prime (431897831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 388894 + ... + 390002.

Almost surely, 2^431897832 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 431897832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606409650).

431897832 is an abundant number, since it is smaller than the sum of its proper divisors (780921468).

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

431897832 is a wasteful number, since it uses less digits than its factorization.

431897832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 431897832 is about 20782.1517653972. The cubic root of 431897832 is about 755.8930309726.

The spelling of 431897832 in words is "four hundred thirty-one million, eight hundred ninety-seven thousand, eight hundred thirty-two".