314289792 has 192 divisors, whose sum is σ = 969040800. Its totient is φ = 97486848.

The previous prime is 314289757. The next prime is 314289793. The reversal of 314289792 is 297982413.

314289792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (314289793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816618 + ... + 1816790.

Almost surely, 2^314289792 is an apocalyptic number.

314289792 is a gapful number since it is divisible by the number (32) 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 314289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484520400).

314289792 is an abundant number, since it is smaller than the sum of its proper divisors (654751008).

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

314289792 is a wasteful number, since it uses less digits than its factorization.

314289792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 314289792 is about 17728.2202152388. The cubic root of 314289792 is about 679.8974701239.

The spelling of 314289792 in words is "three hundred fourteen million, two hundred eighty-nine thousand, seven hundred ninety-two".