382899960 has 144 divisors (see below), whose sum is σ = 1293107400. Its totient is φ = 102036672.

The previous prime is 382899949. The next prime is 382899961. The reversal of 382899960 is 69998283.

It is a super-2 number, since 2×382899960² = 293224758736003200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 382899897 and 382899906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382899961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261711 + ... + 263169.

Almost surely, 2^382899960 is an apocalyptic number.

382899960 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 382899960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646553700).

382899960 is an abundant number, since it is smaller than the sum of its proper divisors (910207440).

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

382899960 is an equidigital number, since it uses as much as digits as its factorization.

382899960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 382899960 is about 19567.8297212542. The cubic root of 382899960 is about 726.1535089638.

The spelling of 382899960 in words is "three hundred eighty-two million, eight hundred ninety-nine thousand, nine hundred sixty".