381292992 has 84 divisors (see below), whose sum is σ = 1122508296. Its totient is φ = 123655680.

The previous prime is 381292991. The next prime is 381293027. The reversal of 381292992 is 299292183.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381292991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12367 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (13363194).

Almost surely, 2^381292992 is an apocalyptic number.

381292992 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 381292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561254148).

381292992 is an abundant number, since it is smaller than the sum of its proper divisors (741215304).

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

381292992 is a wasteful number, since it uses less digits than its factorization.

381292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17946 (or 17933 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 381292992 is about 19526.7250710405. The cubic root of 381292992 is about 725.1362356744.

The spelling of 381292992 in words is "three hundred eighty-one million, two hundred ninety-two thousand, nine hundred ninety-two".