431678720 has 288 divisors, whose sum is σ = 1243275264. Its totient is φ = 141926400.

The previous prime is 431678719. The next prime is 431678749. The reversal of 431678720 is 27876134.

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 31 ways as a sum of consecutive naturals, for example, 10039019 + ... + 10039061.

It is an arithmetic number, because the mean of its divisors is an integer number (4316928).

Almost surely, 2^431678720 is an apocalyptic number.

431678720 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 431678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621637632).

431678720 is an abundant number, since it is smaller than the sum of its proper divisors (811596544).

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

431678720 is a wasteful number, since it uses less digits than its factorization.

431678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 431678720 is about 20776.8794577049. The cubic root of 431678720 is about 755.7651818704.

The spelling of 431678720 in words is "four hundred thirty-one million, six hundred seventy-eight thousand, seven hundred twenty".