395851400 has 144 divisors (see below), whose sum is σ = 1106000640. Its totient is φ = 131241600.

The previous prime is 395851399. The next prime is 395851447. The reversal of 395851400 is 4158593.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 303149 + ... + 304451.

It is an arithmetic number, because the mean of its divisors is an integer number (7680560).

Almost surely, 2^395851400 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 395851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553000320).

395851400 is an abundant number, since it is smaller than the sum of its proper divisors (710149240).

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

395851400 is a wasteful number, since it uses less digits than its factorization.

395851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 395851400 is about 19896.0146763114. The cubic root of 395851400 is about 734.2501801440.

The spelling of 395851400 in words is "three hundred ninety-five million, eight hundred fifty-one thousand, four hundred".