382055040 has 192 divisors, whose sum is σ = 1389117600. Its totient is φ = 96491520.

The previous prime is 382055039. The next prime is 382055117. The reversal of 382055040 is 40550283.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 382054995 and 382055013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107695 + ... + 111185.

Almost surely, 2^382055040 is an apocalyptic number.

382055040 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 382055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694558800).

382055040 is an abundant number, since it is smaller than the sum of its proper divisors (1007062560).

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

382055040 is a wasteful number, since it uses less digits than its factorization.

382055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 382055040 is about 19546.2282806684. The cubic root of 382055040 is about 725.6189973174.

The spelling of 382055040 in words is "three hundred eighty-two million, fifty-five thousand, forty".