395700096 has 128 divisors (see below), whose sum is σ = 1196778240. Its totient is φ = 114667520.

The previous prime is 395700091. The next prime is 395700101. The reversal of 395700096 is 690007593.

It is an interprime number because it is at equal distance from previous prime (395700091) and next prime (395700101).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395700091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95116 + ... + 99188.

It is an arithmetic number, because the mean of its divisors is an integer number (9349830).

Almost surely, 2^395700096 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 395700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598389120).

395700096 is an abundant number, since it is smaller than the sum of its proper divisors (801078144).

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

395700096 is a wasteful number, since it uses less digits than its factorization.

395700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 395700096 is about 19892.2119433712. The cubic root of 395700096 is about 734.1566188171.

The spelling of 395700096 in words is "three hundred ninety-five million, seven hundred thousand, ninety-six".