395545040 has 160 divisors (see below), whose sum is σ = 1083680640. Its totient is φ = 132710400.

The previous prime is 395545037. The next prime is 395545043. The reversal of 395545040 is 40545593.

It is an interprime number because it is at equal distance from previous prime (395545037) and next prime (395545043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395545043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685232 + ... + 685808.

It is an arithmetic number, because the mean of its divisors is an integer number (6773004).

Almost surely, 2^395545040 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 395545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541840320).

395545040 is an abundant number, since it is smaller than the sum of its proper divisors (688135600).

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

395545040 is a wasteful number, since it uses less digits than its factorization.

395545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 395545040 is about 19888.3141568108. The cubic root of 395545040 is about 734.0607126313.

The spelling of 395545040 in words is "three hundred ninety-five million, five hundred forty-five thousand, forty".