314671392 has 336 divisors, whose sum is σ = 1110557952. Its totient is φ = 85847040.

The previous prime is 314671381. The next prime is 314671403. The reversal of 314671392 is 293176413.

It is an interprime number because it is at equal distance from previous prime (314671381) and next prime (314671403).

It is a tau number, because it is divible by the number of its divisors (336).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6695113 + ... + 6695159.

It is an arithmetic number, because the mean of its divisors is an integer number (3305232).

Almost surely, 2^314671392 is an apocalyptic number.

314671392 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 314671392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555278976).

314671392 is an abundant number, since it is smaller than the sum of its proper divisors (795886560).

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

314671392 is an equidigital number, since it uses as much as digits as its factorization.

314671392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 314671392 is about 17738.9794520429. The cubic root of 314671392 is about 680.1725283104.

The spelling of 314671392 in words is "three hundred fourteen million, six hundred seventy-one thousand, three hundred ninety-two".