314676432 has 240 divisors, whose sum is σ = 1075526400. Its totient is φ = 85688064.

The previous prime is 314676431. The next prime is 314676449. The reversal of 314676432 is 234676413.

It is a happy number.

314676432 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 7 + 643 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314676431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135878 + ... + 1136154.

It is an arithmetic number, because the mean of its divisors is an integer number (4481360).

Almost surely, 2^314676432 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 314676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537763200).

314676432 is an abundant number, since it is smaller than the sum of its proper divisors (760849968).

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

314676432 is a wasteful number, since it uses less digits than its factorization.

314676432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 314676432 is about 17739.1215115067. The cubic root of 314676432 is about 680.1761596661.

The spelling of 314676432 in words is "three hundred fourteen million, six hundred seventy-six thousand, four hundred thirty-two".