382786560 has 440 divisors, whose sum is σ = 1498010976. Its totient is φ = 92897280.

The previous prime is 382786549. The next prime is 382786561. The reversal of 382786560 is 65687283.

382786560 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 86 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382786561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391325 + ... + 5391395.

Almost surely, 2^382786560 is an apocalyptic number.

382786560 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 382786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749005488).

382786560 is an abundant number, since it is smaller than the sum of its proper divisors (1115224416).

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

382786560 is a wasteful number, since it uses less digits than its factorization.

382786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 382786560 is about 19564.9318935692. The cubic root of 382786560 is about 726.0818157915.

The spelling of 382786560 in words is "three hundred eighty-two million, seven hundred eighty-six thousand, five hundred sixty".