314432640 has 192 divisors, whose sum is σ = 1101110400. Its totient is φ = 82667520.

The previous prime is 314432633. The next prime is 314432669. The reversal of 314432640 is 46234413.

314432640 is a `hidden beast` number, since 3 + 14 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454695 + ... + 455385.

It is an arithmetic number, because the mean of its divisors is an integer number (5734950).

Almost surely, 2^314432640 is an apocalyptic number.

314432640 is a gapful number since it is divisible by the number (30) 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 314432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550555200).

314432640 is an abundant number, since it is smaller than the sum of its proper divisors (786677760).

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

314432640 is a wasteful number, since it uses less digits than its factorization.

314432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 314432640 is about 17732.2485883771. The cubic root of 314432640 is about 680.0004613607. Note that the first 3 decimals are identical.

The spelling of 314432640 in words is "three hundred fourteen million, four hundred thirty-two thousand, six hundred forty".