398620636960 has 288 divisors, whose sum is σ = 1208551164912. Its totient is φ = 123078574080.

The previous prime is 398620636957. The next prime is 398620637029. The reversal of 398620636960 is 69636026893.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110779802896 + 287840834064 = 332836^2 + 536508^2 .

It is a super-2 number, since 2×398620636960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398620636895 and 398620636904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4131024 + ... + 4226416.

Almost surely, 2^398620636960 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 398620636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604275582456).

398620636960 is an abundant number, since it is smaller than the sum of its proper divisors (809930527952).

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

398620636960 is a wasteful number, since it uses less digits than its factorization.

398620636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95476 (or 95461 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 58.

The spelling of 398620636960 in words is "three hundred ninety-eight billion, six hundred twenty million, six hundred thirty-six thousand, nine hundred sixty".