395873287488 has 672 divisors, whose sum is σ = 1386041180160. Its totient is φ = 105649090560.

The previous prime is 395873287451. The next prime is 395873287529. The reversal of 395873287488 is 884782378593.

395873287488 is a `hidden beast` number, since 3 + 9 + 58 + 73 + 28 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 464094870 + ... + 464095722.

It is an arithmetic number, because the mean of its divisors is an integer number (2062561280).

Almost surely, 2^395873287488 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 395873287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693020590080).

395873287488 is an abundant number, since it is smaller than the sum of its proper divisors (990167892672).

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

395873287488 is a wasteful number, since it uses less digits than its factorization.

395873287488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1022 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 395873287488 in words is "three hundred ninety-five billion, eight hundred seventy-three million, two hundred eighty-seven thousand, four hundred eighty-eight".