382548960 has 192 divisors, whose sum is σ = 1417953600. Its totient is φ = 95993856.

The previous prime is 382548919. The next prime is 382548961. The reversal of 382548960 is 69845283.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382548961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70836 + ... + 76044.

It is an arithmetic number, because the mean of its divisors is an integer number (7385175).

Almost surely, 2^382548960 is an apocalyptic number.

382548960 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 382548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708976800).

382548960 is an abundant number, since it is smaller than the sum of its proper divisors (1035404640).

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

382548960 is a wasteful number, since it uses less digits than its factorization.

382548960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 382548960 is about 19558.8588624183. The cubic root of 382548960 is about 725.9315555993.

The spelling of 382548960 in words is "three hundred eighty-two million, five hundred forty-eight thousand, nine hundred sixty".