395021792952 has 256 divisors, whose sum is σ = 1181302963200. Its totient is φ = 121858007040.

The previous prime is 395021792933. The next prime is 395021792999. The reversal of 395021792952 is 259297120593.

395021792952 is a `hidden beast` number, since 39 + 502 + 17 + 9 + 2 + 95 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182794752 + ... + 182796912.

It is an arithmetic number, because the mean of its divisors is an integer number (4614464700).

Almost surely, 2^395021792952 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 395021792952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590651481600).

395021792952 is an abundant number, since it is smaller than the sum of its proper divisors (786281170248).

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

395021792952 is a wasteful number, since it uses less digits than its factorization.

395021792952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 395021792952 in words is "three hundred ninety-five billion, twenty-one million, seven hundred ninety-two thousand, nine hundred fifty-two".