395410770 has 48 divisors (see below), whose sum is σ = 1035604440. Its totient is φ = 104669952.

The previous prime is 395410759. The next prime is 395410777. The reversal of 395410770 is 77014593.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 372914721 + 22496049 = 19311^2 + 4743^2 .

It is not an unprimeable number, because it can be changed into a prime (395410777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3705 + ... + 28364.

Almost surely, 2^395410770 is an apocalyptic number.

395410770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395410770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517802220).

395410770 is an abundant number, since it is smaller than the sum of its proper divisors (640193670).

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

395410770 is a wasteful number, since it uses less digits than its factorization.

395410770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32219 (or 32216 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 395410770 is about 19884.9382699570. The cubic root of 395410770 is about 733.9776428781.

The spelling of 395410770 in words is "three hundred ninety-five million, four hundred ten thousand, seven hundred seventy".