396825385950 has 576 divisors, whose sum is σ = 1316087764992. Its totient is φ = 83756851200.

The previous prime is 396825385933. The next prime is 396825385961. The reversal of 396825385950 is 59583528693.

396825385950 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 2 + 5 + 38 + 595 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 305955702 + ... + 305956998.

It is an arithmetic number, because the mean of its divisors is an integer number (2284874592).

Almost surely, 2^396825385950 is an apocalyptic number.

396825385950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 396825385950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658043882496).

396825385950 is an abundant number, since it is smaller than the sum of its proper divisors (919262379042).

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

396825385950 is a wasteful number, since it uses less digits than its factorization.

396825385950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 396825385950 in words is "three hundred ninety-six billion, eight hundred twenty-five million, three hundred eighty-five thousand, nine hundred fifty".