396828906880 has 384 divisors, whose sum is σ = 1153795276800. Its totient is φ = 129974906880.

The previous prime is 396828906871. The next prime is 396828906889. The reversal of 396828906880 is 88609828693.

It is an interprime number because it is at equal distance from previous prime (396828906871) and next prime (396828906889).

It is a super-2 number, since 2×396828906880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396828906889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76798057 + ... + 76803223.

It is an arithmetic number, because the mean of its divisors is an integer number (3004675200).

Almost surely, 2^396828906880 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 396828906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576897638400).

396828906880 is an abundant number, since it is smaller than the sum of its proper divisors (756966369920).

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

396828906880 is a wasteful number, since it uses less digits than its factorization.

396828906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 396828906880 in words is "three hundred ninety-six billion, eight hundred twenty-eight million, nine hundred six thousand, eight hundred eighty".