382717440 has 480 divisors, whose sum is σ = 1595388960. Its totient is φ = 86704128.

The previous prime is 382717427. The next prime is 382717459. The reversal of 382717440 is 44717283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 382717395 and 382717404.

It is a congruent number.

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, 3386824 + ... + 3386936.

It is an arithmetic number, because the mean of its divisors is an integer number (3323727).

Almost surely, 2^382717440 is an apocalyptic number.

382717440 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 382717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797694480).

382717440 is an abundant number, since it is smaller than the sum of its proper divisors (1212671520).

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

382717440 is a wasteful number, since it uses less digits than its factorization.

382717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 382717440 is about 19563.1653880450. The cubic root of 382717440 is about 726.0381101502.

The spelling of 382717440 in words is "three hundred eighty-two million, seven hundred seventeen thousand, four hundred forty".