381417984 has 200 divisors, whose sum is σ = 1207626948. Its totient is φ = 119439360.

The previous prime is 381417979. The next prime is 381417991. The reversal of 381417984 is 489714183.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 377913600 + 3504384 = 19440^2 + 1872^2 .

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704754 + ... + 705294.

Almost surely, 2^381417984 is an apocalyptic number.

381417984 is a gapful number since it is divisible by the number (34) 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 381417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603813474).

381417984 is an abundant number, since it is smaller than the sum of its proper divisors (826208964).

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

381417984 is an equidigital number, since it uses as much as digits as its factorization.

381417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 381417984 is about 19529.9253454794. The cubic root of 381417984 is about 725.2154628726.

The spelling of 381417984 in words is "three hundred eighty-one million, four hundred seventeen thousand, nine hundred eighty-four".