382957260 has 192 divisors, whose sum is σ = 1286799360. Its totient is φ = 83255040.

The previous prime is 382957247. The next prime is 382957301. The reversal of 382957260 is 62759283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872121 + ... + 872559.

It is an arithmetic number, because the mean of its divisors is an integer number (6702080).

Almost surely, 2^382957260 is an apocalyptic number.

382957260 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 382957260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643399680).

382957260 is an abundant number, since it is smaller than the sum of its proper divisors (903842100).

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

382957260 is a wasteful number, since it uses less digits than its factorization.

382957260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 382957260 is about 19569.2938043252. The cubic root of 382957260 is about 726.1897294957.

The spelling of 382957260 in words is "three hundred eighty-two million, nine hundred fifty-seven thousand, two hundred sixty".