382658640 has 240 divisors, whose sum is σ = 1486654848. Its totient is φ = 80704512.

The previous prime is 382658629. The next prime is 382658657. The reversal of 382658640 is 46856283.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 382658592 and 382658601.

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, 151629 + ... + 154131.

Almost surely, 2^382658640 is an apocalyptic number.

382658640 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 382658640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743327424).

382658640 is an abundant number, since it is smaller than the sum of its proper divisors (1103996208).

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

382658640 is a wasteful number, since it uses less digits than its factorization.

382658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 382658640 is about 19561.6625060346. The cubic root of 382658640 is about 726.0009258615. Note that the first 3 decimals are identical.

The spelling of 382658640 in words is "three hundred eighty-two million, six hundred fifty-eight thousand, six hundred forty".