395701600 has 144 divisors (see below), whose sum is σ = 1162425600. Its totient is φ = 128494080.

The previous prime is 395701597. The next prime is 395701627. The reversal of 395701600 is 6107593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104541 + ... + 108259.

It is an arithmetic number, because the mean of its divisors is an integer number (8072400).

Almost surely, 2^395701600 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 395701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581212800).

395701600 is an abundant number, since it is smaller than the sum of its proper divisors (766724000).

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

395701600 is a wasteful number, since it uses less digits than its factorization.

395701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 395701600 is about 19892.2497470749. The cubic root of 395701600 is about 734.1575489577.

The spelling of 395701600 in words is "three hundred ninety-five million, seven hundred one thousand, six hundred".