431495680 has 240 divisors, whose sum is σ = 1306166400. Its totient is φ = 133816320.

The previous prime is 431495657. The next prime is 431495689. The reversal of 431495680 is 86594134.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431495689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168221 + ... + 2168419.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2^431495680 is an apocalyptic number.

431495680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

431495680 is an abundant number, since it is smaller than the sum of its proper divisors (874670720).

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

431495680 is a wasteful number, since it uses less digits than its factorization.

431495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 431495680 is about 20772.4740943394. The cubic root of 431495680 is about 755.6583471580.

The spelling of 431495680 in words is "four hundred thirty-one million, four hundred ninety-five thousand, six hundred eighty".