395097600 has 120 divisors (see below), whose sum is σ = 1305307080. Its totient is φ = 105349120.

The previous prime is 395097583. The next prime is 395097613. The reversal of 395097600 is 6790593.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×395097600² = 312204227051520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33256 + ... + 43544.

It is an arithmetic number, because the mean of its divisors is an integer number (10877559).

Almost surely, 2^395097600 is an apocalyptic number.

395097600 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 395097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652653540).

395097600 is an abundant number, since it is smaller than the sum of its proper divisors (910209480).

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

395097600 is a wasteful number, since it uses less digits than its factorization.

395097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10299 counting only the distinct ones).

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

The square root of 395097600 is about 19877.0621571700. The cubic root of 395097600 is about 733.7838187114.

The spelling of 395097600 in words is "three hundred ninety-five million, ninety-seven thousand, six hundred".