395109900 has 90 divisors (see below), whose sum is σ = 1280816460. Its totient is φ = 105360480.

The previous prime is 395109899. The next prime is 395109901. The reversal of 395109900 is 9901593.

It is an interprime number because it is at equal distance from previous prime (395109899) and next prime (395109901).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×395109900² = 312223666156020000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (395109901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16290 + ... + 32489.

It is an arithmetic number, because the mean of its divisors is an integer number (14231294).

Almost surely, 2^395109900 is an apocalyptic number.

395109900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395109900 is an abundant number, since it is smaller than the sum of its proper divisors (885706560).

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

395109900 is a wasteful number, since it uses less digits than its factorization.

395109900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48805 (or 48789 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 395109900 is about 19877.3715566219. The cubic root of 395109900 is about 733.7914332412.

The spelling of 395109900 in words is "three hundred ninety-five million, one hundred nine thousand, nine hundred".