395401890960 has 320 divisors, whose sum is σ = 1468593504000. Its totient is φ = 97454223360.

The previous prime is 395401890953. The next prime is 395401890967. The reversal of 395401890960 is 69098104593.

395401890960 is a `hidden beast` number, since 3 + 9 + 540 + 1 + 8 + 9 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395401890953) and next prime (395401890967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 395401890897 and 395401890906.

It is not an unprimeable number, because it can be changed into a prime (395401890967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565146 + ... + 1800134.

It is an arithmetic number, because the mean of its divisors is an integer number (4589354700).

Almost surely, 2^395401890960 is an apocalyptic number.

395401890960 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 395401890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734296752000).

395401890960 is an abundant number, since it is smaller than the sum of its proper divisors (1073191613040).

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

395401890960 is a wasteful number, since it uses less digits than its factorization.

395401890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235071 (or 235059 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 395401890960 in words is "three hundred ninety-five billion, four hundred one million, eight hundred ninety thousand, nine hundred sixty".