431840640 has 512 divisors, whose sum is σ = 1804861440. Its totient is φ = 85155840.

The previous prime is 431840621. The next prime is 431840677. The reversal of 431840640 is 46048134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 431840598 and 431840607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400257 + ... + 3400383.

It is an arithmetic number, because the mean of its divisors is an integer number (3525120).

Almost surely, 2^431840640 is an apocalyptic number.

431840640 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 431840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902430720).

431840640 is an abundant number, since it is smaller than the sum of its proper divisors (1373020800).

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

431840640 is a wasteful number, since it uses less digits than its factorization.

431840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 431840640 is about 20780.7757314302. The cubic root of 431840640 is about 755.8596643294.

Adding to 431840640 its reverse (46048134), we get a palindrome (477888774).

The spelling of 431840640 in words is "four hundred thirty-one million, eight hundred forty thousand, six hundred forty".