314893992 has 192 divisors, whose sum is σ = 1021896000. Its totient is φ = 80123904.

The previous prime is 314893991. The next prime is 314893993. The reversal of 314893992 is 299398413.

It is an interprime number because it is at equal distance from previous prime (314893991) and next prime (314893993).

It is not an unprimeable number, because it can be changed into a prime (314893991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379434 + ... + 380262.

It is an arithmetic number, because the mean of its divisors is an integer number (5322375).

Almost surely, 2^314893992 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 314893992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510948000).

314893992 is an abundant number, since it is smaller than the sum of its proper divisors (707002008).

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

314893992 is a wasteful number, since it uses less digits than its factorization.

314893992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 314893992 is about 17745.2526609231. The cubic root of 314893992 is about 680.3328762382.

The spelling of 314893992 in words is "three hundred fourteen million, eight hundred ninety-three thousand, nine hundred ninety-two".