395251535952 has 400 divisors, whose sum is σ = 1429009287552. Its totient is φ = 102684257280.

The previous prime is 395251535951. The next prime is 395251535969. The reversal of 395251535952 is 259535152593.

395251535952 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 51 + 535 + 9 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395251535951) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7876702 + ... + 7926722.

Almost surely, 2^395251535952 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 395251535952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714504643776).

395251535952 is an abundant number, since it is smaller than the sum of its proper divisors (1033757751600).

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

395251535952 is a wasteful number, since it uses less digits than its factorization.

395251535952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50128 (or 50113 counting only the distinct ones).

The product of its digits is 9112500, while the sum is 54.

The spelling of 395251535952 in words is "three hundred ninety-five billion, two hundred fifty-one million, five hundred thirty-five thousand, nine hundred fifty-two".