398927966976 has 576 divisors, whose sum is σ = 1518302822400. Its totient is φ = 100271001600.

The previous prime is 398927966971. The next prime is 398927966981. The reversal of 398927966976 is 679669729893.

398927966976 is a `hidden beast` number, since 398 + 92 + 79 + 6 + 6 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (398927966971) and next prime (398927966981).

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 398927966895 and 398927966904.

It is not an unprimeable number, because it can be changed into a prime (398927966971) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16486855 + ... + 16511033.

It is an arithmetic number, because the mean of its divisors is an integer number (2635942400).

Almost surely, 2^398927966976 is an apocalyptic number.

398927966976 is a gapful number since it is divisible by the number (36) 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 398927966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759151411200).

398927966976 is an abundant number, since it is smaller than the sum of its proper divisors (1119374855424).

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

398927966976 is a wasteful number, since it uses less digits than its factorization.

398927966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24253 (or 24233 counting only the distinct ones).

The product of its digits is 3333197952, while the sum is 81.

The spelling of 398927966976 in words is "three hundred ninety-eight billion, nine hundred twenty-seven million, nine hundred sixty-six thousand, nine hundred seventy-six".