431878608 has 320 divisors, whose sum is σ = 1554186240. Its totient is φ = 111974400.

The previous prime is 431878549. The next prime is 431878619. The reversal of 431878608 is 806878134.

431878608 is a `hidden beast` number, since 4 + 31 + 8 + 7 + 8 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593513 + ... + 1593783.

It is an arithmetic number, because the mean of its divisors is an integer number (4856832).

Almost surely, 2^431878608 is an apocalyptic number.

431878608 is a gapful number since it is divisible by the number (48) 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 431878608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120).

431878608 is an abundant number, since it is smaller than the sum of its proper divisors (1122307632).

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

431878608 is a wasteful number, since it uses less digits than its factorization.

431878608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 431878608 is about 20781.6892479894. The cubic root of 431878608 is about 755.8818157406.

The spelling of 431878608 in words is "four hundred thirty-one million, eight hundred seventy-eight thousand, six hundred eight".