431620380 has 96 divisors (see below), whose sum is σ = 1355323200. Its totient is φ = 114027264.

The previous prime is 431620349. The next prime is 431620381. The reversal of 431620380 is 83026134.

It is a happy number.

431620380 is a `hidden beast` number, since 4 + 3 + 1 + 620 + 38 + 0 = 666.

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 (431620381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55194 + ... + 62526.

It is an arithmetic number, because the mean of its divisors is an integer number (14117950).

Almost surely, 2^431620380 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 431620380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677661600).

431620380 is an abundant number, since it is smaller than the sum of its proper divisors (923702820).

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

431620380 is a wasteful number, since it uses less digits than its factorization.

431620380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 431620380 is about 20775.4754458231. The cubic root of 431620380 is about 755.7311339199.

The spelling of 431620380 in words is "four hundred thirty-one million, six hundred twenty thousand, three hundred eighty".