395513976 has 128 divisors (see below), whose sum is σ = 1230163200. Its totient is φ = 104110080.

The previous prime is 395513971. The next prime is 395513981. The reversal of 395513976 is 679315593.

It is an interprime number because it is at equal distance from previous prime (395513971) and next prime (395513981).

It is a super-2 number, since 2×395513976² = 312862610422657152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395513971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54955 + ... + 61733.

It is an arithmetic number, because the mean of its divisors is an integer number (9610650).

Almost surely, 2^395513976 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 395513976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615081600).

395513976 is an abundant number, since it is smaller than the sum of its proper divisors (834649224).

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

395513976 is a wasteful number, since it uses less digits than its factorization.

395513976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6825 counting only the distinct ones).

The product of its digits is 765450, while the sum is 48.

The square root of 395513976 is about 19887.5331803620. The cubic root of 395513976 is about 734.0414957224.

The spelling of 395513976 in words is "three hundred ninety-five million, five hundred thirteen thousand, nine hundred seventy-six".