382463040 has 112 divisors (see below), whose sum is σ = 1224271872. Its totient is φ = 101154816.

The previous prime is 382462981. The next prime is 382463069. The reversal of 382463040 is 40364283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 382462989 and 382463007.

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, 120352 + ... + 123488.

Almost surely, 2^382463040 is an apocalyptic number.

382463040 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 382463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612135936).

382463040 is an abundant number, since it is smaller than the sum of its proper divisors (841808832).

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

382463040 is a wasteful number, since it uses less digits than its factorization.

382463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 382463040 is about 19556.6622919147. The cubic root of 382463040 is about 725.8772037682.

The spelling of 382463040 in words is "three hundred eighty-two million, four hundred sixty-three thousand, forty".