395950952160 has 480 divisors, whose sum is σ = 1527330131712. Its totient is φ = 96168591360.

The previous prime is 395950952153. The next prime is 395950952179. The reversal of 395950952160 is 61259059593.

It is a happy number.

395950952160 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 50 + 9 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 395950952097 and 395950952106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6800934 + ... + 6858906.

Almost surely, 2^395950952160 is an apocalyptic number.

395950952160 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 395950952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763665065856).

395950952160 is an abundant number, since it is smaller than the sum of its proper divisors (1131379179552).

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

395950952160 is a wasteful number, since it uses less digits than its factorization.

395950952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58048 (or 58031 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 395950952160 in words is "three hundred ninety-five billion, nine hundred fifty million, nine hundred fifty-two thousand, one hundred sixty".