399105000 has 360 divisors, whose sum is σ = 1579908330. Its totient is φ = 90720000.

The previous prime is 399104983. The next prime is 399105017. The reversal of 399105000 is 501993.

It is an interprime number because it is at equal distance from previous prime (399104983) and next prime (399105017).

It can be written as a sum of positive squares in 5 ways, for example, as 20958084 + 378146916 = 4578^2 + 19446^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2204910 + ... + 2205090.

Almost surely, 2^399105000 is an apocalyptic number.

399105000 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 399105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789954165).

399105000 is an abundant number, since it is smaller than the sum of its proper divisors (1180803330).

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

399105000 is a wasteful number, since it uses less digits than its factorization.

399105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 399105000 is about 19977.6124699625. The cubic root of 399105000 is about 736.2563546580.

Adding to 399105000 its reverse (501993), we get a palindrome (399606993).

The spelling of 399105000 in words is "three hundred ninety-nine million, one hundred five thousand".