382465440 has 288 divisors, whose sum is σ = 1570907520. Its totient is φ = 82778112.

The previous prime is 382465429. The next prime is 382465451. The reversal of 382465440 is 44564283.

It is an interprime number because it is at equal distance from previous prime (382465429) and next prime (382465451).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 382465395 and 382465404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190522 + ... + 192518.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2^382465440 is an apocalyptic number.

382465440 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 382465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785453760).

382465440 is an abundant number, since it is smaller than the sum of its proper divisors (1188442080).

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

382465440 is a wasteful number, since it uses less digits than its factorization.

382465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 382465440 is about 19556.7236519822. The cubic root of 382465440 is about 725.8787220863.

The spelling of 382465440 in words is "three hundred eighty-two million, four hundred sixty-five thousand, four hundred forty".