395920350 has 288 divisors, whose sum is σ = 1293726720. Its totient is φ = 84913920.

The previous prime is 395920333. The next prime is 395920363. The reversal of 395920350 is 53029593.

395920350 is a `hidden beast` number, since 39 + 592 + 0 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5011611 + ... + 5011689.

Almost surely, 2^395920350 is an apocalyptic number.

395920350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395920350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646863360).

395920350 is an abundant number, since it is smaller than the sum of its proper divisors (897806370).

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

395920350 is a wasteful number, since it uses less digits than its factorization.

395920350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 395920350 is about 19897.7473599400. The cubic root of 395920350 is about 734.2928086074.

The spelling of 395920350 in words is "three hundred ninety-five million, nine hundred twenty thousand, three hundred fifty".