431409140 has 24 divisors (see below), whose sum is σ = 913981320. Its totient is φ = 171035648.

The previous prime is 431409131. The next prime is 431409163. The reversal of 431409140 is 41904134.

It can be written as a sum of positive squares in 4 ways, for example, as 48972004 + 382437136 = 6998^2 + 19556^2 .

It is a super-2 number, since 2×431409140² = 372227692151079200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93185 + ... + 97704.

It is an arithmetic number, because the mean of its divisors is an integer number (38082555).

Almost surely, 2^431409140 is an apocalyptic number.

It is an amenable number.

431409140 is an abundant number, since it is smaller than the sum of its proper divisors (482572180).

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

431409140 is a wasteful number, since it uses less digits than its factorization.

431409140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191011 (or 191009 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 431409140 is about 20770.3909448041. The cubic root of 431409140 is about 755.6078259525.

The spelling of 431409140 in words is "four hundred thirty-one million, four hundred nine thousand, one hundred forty".