398983656960 has 3200 divisors, whose sum is σ = 1950740858880. Its totient is φ = 75676778496.

The previous prime is 398983656959. The next prime is 398983657021. The reversal of 398983656960 is 69656389893.

398983656960 is a `hidden beast` number, since 3 + 98 + 98 + 365 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10783342062 + ... + 10783342098.

Almost surely, 2^398983656960 is an apocalyptic number.

398983656960 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 398983656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975370429440).

398983656960 is an abundant number, since it is smaller than the sum of its proper divisors (1551757201920).

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

398983656960 is a wasteful number, since it uses less digits than its factorization.

398983656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 398983656960 in words is "three hundred ninety-eight billion, nine hundred eighty-three million, six hundred fifty-six thousand, nine hundred sixty".