384992712 has 96 divisors (see below), whose sum is σ = 1126714680. Its totient is φ = 118056960.

The previous prime is 384992711. The next prime is 384992737. The reversal of 384992712 is 217299483.

It can be written as a sum of positive squares in 4 ways, for example, as 232074756 + 152917956 = 15234^2 + 12366^2 .

It is a super-2 number, since 2×384992712² = 296438776586229888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384992711) 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, 393568 + ... + 394544.

Almost surely, 2^384992712 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 384992712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563357340).

384992712 is an abundant number, since it is smaller than the sum of its proper divisors (741721968).

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

384992712 is a wasteful number, since it uses less digits than its factorization.

384992712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1416 counting only the distinct ones).

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

The square root of 384992712 is about 19621.2311540331. The cubic root of 384992712 is about 727.4740444915.

The spelling of 384992712 in words is "three hundred eighty-four million, nine hundred ninety-two thousand, seven hundred twelve".