395219520 has 224 divisors, whose sum is σ = 1408176000. Its totient is φ = 104343552.

The previous prime is 395219491. The next prime is 395219537. The reversal of 395219520 is 25912593.

It is a happy number.

395219520 is a `hidden beast` number, since 395 + 219 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287207 + ... + 1287513.

It is an arithmetic number, because the mean of its divisors is an integer number (6286500).

Almost surely, 2^395219520 is an apocalyptic number.

395219520 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 395219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088000).

395219520 is an abundant number, since it is smaller than the sum of its proper divisors (1012956480).

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

395219520 is a wasteful number, since it uses less digits than its factorization.

395219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 395219520 is about 19880.1287722188. The cubic root of 395219520 is about 733.8592884372.

The spelling of 395219520 in words is "three hundred ninety-five million, two hundred nineteen thousand, five hundred twenty".