382646880 has 864 divisors, whose sum is σ = 1815035040. Its totient is φ = 72253440.

The previous prime is 382646879. The next prime is 382646893. The reversal of 382646880 is 88646283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13194706 + ... + 13194734.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^382646880 is an apocalyptic number.

382646880 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 382646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907517520).

382646880 is an abundant number, since it is smaller than the sum of its proper divisors (1432388160).

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

382646880 is a wasteful number, since it uses less digits than its factorization.

382646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 382646880 is about 19561.3619157767. The cubic root of 382646880 is about 725.9934885467.

The spelling of 382646880 in words is "three hundred eighty-two million, six hundred forty-six thousand, eight hundred eighty".