431006940 has 384 divisors, whose sum is σ = 1693440000. Its totient is φ = 90429696.

The previous prime is 431006929. The next prime is 431006941. The reversal of 431006940 is 49600134.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431006941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2407771 + ... + 2407949.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^431006940 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 431006940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

431006940 is an abundant number, since it is smaller than the sum of its proper divisors (1262433060).

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

431006940 is a wasteful number, since it uses less digits than its factorization.

431006940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 431006940 is about 20760.7066353725. The cubic root of 431006940 is about 755.3729368172.

The spelling of 431006940 in words is "four hundred thirty-one million, six thousand, nine hundred forty".