398404656000 has 1920 divisors, whose sum is σ = 1712369561760. Its totient is φ = 91437465600.

The previous prime is 398404655981. The next prime is 398404656047. The reversal of 398404656000 is 656404893.

398404656000 is a `hidden beast` number, since 3 + 9 + 8 + 40 + 46 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3723407947 + ... + 3723408053.

Almost surely, 2^398404656000 is an apocalyptic number.

398404656000 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 398404656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856184780880).

398404656000 is an abundant number, since it is smaller than the sum of its proper divisors (1313964905760).

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

398404656000 is a wasteful number, since it uses less digits than its factorization.

398404656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 398404656000 in words is "three hundred ninety-eight billion, four hundred four million, six hundred fifty-six thousand".