382609440 has 192 divisors, whose sum is σ = 1382814720. Its totient is φ = 98703360.

The previous prime is 382609433. The next prime is 382609459. The reversal of 382609440 is 44906283.

It is a happy number.

382609440 is a `hidden beast` number, since 3 + 8 + 2 + 609 + 4 + 40 = 666.

It is a super-2 number, since 2×382609440² = 292779967154227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382609395 and 382609404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132492 + ... + 135348.

It is an arithmetic number, because the mean of its divisors is an integer number (7202160).

Almost surely, 2^382609440 is an apocalyptic number.

382609440 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 382609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691407360).

382609440 is an abundant number, since it is smaller than the sum of its proper divisors (1000205280).

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

382609440 is a wasteful number, since it uses less digits than its factorization.

382609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 382609440 is about 19560.4049037846. The cubic root of 382609440 is about 725.9698095498.

The spelling of 382609440 in words is "three hundred eighty-two million, six hundred nine thousand, four hundred forty".