314777664 has 140 divisors (see below), whose sum is σ = 956503548. Its totient is φ = 102297600.

The previous prime is 314777663. The next prime is 314777669. The reversal of 314777664 is 466777413.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 250905600 = 7992^2 + 15840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314777663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211804 + ... + 213284.

Almost surely, 2^314777664 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 314777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478251774).

314777664 is an abundant number, since it is smaller than the sum of its proper divisors (641725884).

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

314777664 is a wasteful number, since it uses less digits than its factorization.

314777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1527 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 314777664 is about 17741.9746364377. The cubic root of 314777664 is about 680.2490898293.

The spelling of 314777664 in words is "three hundred fourteen million, seven hundred seventy-seven thousand, six hundred sixty-four".