398685006720 has 2304 divisors, whose sum is σ = 1937226170880. Its totient is φ = 76082872320.

The previous prime is 398685006719. The next prime is 398685006799. The reversal of 398685006720 is 27600586893.

It is a happy number.

398685006720 is a `hidden beast` number, since 3 + 9 + 8 + 68 + 500 + 6 + 72 + 0 = 666.

398685006720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2023781662 + ... + 2023781858.

It is an arithmetic number, because the mean of its divisors is an integer number (840809970).

Almost surely, 2^398685006720 is an apocalyptic number.

398685006720 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 398685006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968613085440).

398685006720 is an abundant number, since it is smaller than the sum of its proper divisors (1538541164160).

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

398685006720 is a wasteful number, since it uses less digits than its factorization.

398685006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 398685006720 in words is "three hundred ninety-eight billion, six hundred eighty-five million, six thousand, seven hundred twenty".