395382024 has 96 divisors (see below), whose sum is σ = 1105453440. Its totient is φ = 127584000.

The previous prime is 395382023. The next prime is 395382101. The reversal of 395382024 is 420283593.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 395382024.

It is not an unprimeable number, because it can be changed into a prime (395382023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445309 + ... + 446195.

It is an arithmetic number, because the mean of its divisors is an integer number (11515140).

Almost surely, 2^395382024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395382024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552726720).

395382024 is an abundant number, since it is smaller than the sum of its proper divisors (710071416).

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

395382024 is a wasteful number, since it uses less digits than its factorization.

395382024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 395382024 is about 19884.2154484405. The cubic root of 395382024 is about 733.9598559468.

The spelling of 395382024 in words is "three hundred ninety-five million, three hundred eighty-two thousand, twenty-four".