395041920 has 768 divisors, whose sum is σ = 1758153600. Its totient is φ = 74317824.

The previous prime is 395041919. The next prime is 395041931. The reversal of 395041920 is 29140593.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791671 + ... + 20791689.

Almost surely, 2^395041920 is an apocalyptic number.

395041920 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 395041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879076800).

395041920 is an abundant number, since it is smaller than the sum of its proper divisors (1363111680).

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

395041920 is a wasteful number, since it uses less digits than its factorization.

395041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 395041920 is about 19875.6614984257. The cubic root of 395041920 is about 733.7493470581.

The spelling of 395041920 in words is "three hundred ninety-five million, forty-one thousand, nine hundred twenty".