395298000 has 120 divisors (see below), whose sum is σ = 1380707016. Its totient is φ = 105408000.

The previous prime is 395297999. The next prime is 395298023. The reversal of 395298000 is 892593.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 393943104 = 1164^2 + 19848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7020 + ... + 28980.

Almost surely, 2^395298000 is an apocalyptic number.

395298000 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 395298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690353508).

395298000 is an abundant number, since it is smaller than the sum of its proper divisors (985409016).

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

395298000 is a wasteful number, since it uses less digits than its factorization.

395298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21990 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 395298000 is about 19882.1025045140. The cubic root of 395298000 is about 733.9078601484.

The spelling of 395298000 in words is "three hundred ninety-five million, two hundred ninety-eight thousand".