395073900 has 108 divisors (see below), whose sum is σ = 1333633392. Its totient is φ = 97246080.

The previous prime is 395073871. The next prime is 395073953. The reversal of 395073900 is 9370593.

It is a super-2 number, since 2×395073900² = 312166772922420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5184 + ... + 28583.

Almost surely, 2^395073900 is an apocalyptic number.

395073900 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 395073900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666816696).

395073900 is an abundant number, since it is smaller than the sum of its proper divisors (938559492).

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

395073900 is a wasteful number, since it uses less digits than its factorization.

395073900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33790 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 395073900 is about 19876.4659836702. The cubic root of 395073900 is about 733.7691463670.

The spelling of 395073900 in words is "three hundred ninety-five million, seventy-three thousand, nine hundred".