382467840 has 144 divisors (see below), whose sum is σ = 1234641408. Its totient is φ = 100896768.

The previous prime is 382467829. The next prime is 382467871. The reversal of 382467840 is 48764283.

It is a junction number, because it is equal to n+sod(n) for n = 382467792 and 382467801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395037 + ... + 396003.

Almost surely, 2^382467840 is an apocalyptic number.

382467840 is a gapful number since it is divisible by the number (30) 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 382467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617320704).

382467840 is an abundant number, since it is smaller than the sum of its proper divisors (852173568).

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

382467840 is a wasteful number, since it uses less digits than its factorization.

382467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 382467840 is about 19556.7850118571. The cubic root of 382467840 is about 725.8802403980.

The spelling of 382467840 in words is "three hundred eighty-two million, four hundred sixty-seven thousand, eight hundred forty".