314404992 has 192 divisors, whose sum is σ = 1011684960. Its totient is φ = 92897280.

The previous prime is 314404991. The next prime is 314405011. The reversal of 314404992 is 299404413.

314404992 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 a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314404991) 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, 544608 + ... + 545184.

Almost surely, 2^314404992 is an apocalyptic number.

314404992 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 314404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505842480).

314404992 is an abundant number, since it is smaller than the sum of its proper divisors (697279968).

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

314404992 is a wasteful number, since it uses less digits than its factorization.

314404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 314404992 is about 17731.4689746789. The cubic root of 314404992 is about 679.9805300077.

The spelling of 314404992 in words is "three hundred fourteen million, four hundred four thousand, nine hundred ninety-two".