382015440 has 240 divisors, whose sum is σ = 1364371008. Its totient is φ = 99283968.

The previous prime is 382015427. The next prime is 382015477. The reversal of 382015440 is 44510283.

382015440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 835692 + ... + 836148.

Almost surely, 2^382015440 is an apocalyptic number.

382015440 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 382015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682185504).

382015440 is an abundant number, since it is smaller than the sum of its proper divisors (982355568).

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

382015440 is a wasteful number, since it uses less digits than its factorization.

382015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 382015440 is about 19545.2152712627. The cubic root of 382015440 is about 725.5939263179.

The spelling of 382015440 in words is "three hundred eighty-two million, fifteen thousand, four hundred forty".