431288640 has 336 divisors, whose sum is σ = 1643286528. Its totient is φ = 103268352.

The previous prime is 431288639. The next prime is 431288659. The reversal of 431288640 is 46882134.

431288640 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 8 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 431288595 and 431288604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125889 + ... + 1126271.

Almost surely, 2^431288640 is an apocalyptic number.

431288640 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 431288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821643264).

431288640 is an abundant number, since it is smaller than the sum of its proper divisors (1211997888).

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

431288640 is a wasteful number, since it uses less digits than its factorization.

431288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 431288640 is about 20767.4899783291. The cubic root of 431288640 is about 755.5374679766.

The spelling of 431288640 in words is "four hundred thirty-one million, two hundred eighty-eight thousand, six hundred forty".