398488469184000 has 3840 divisors, whose sum is σ = 1664241881702400. Its totient is φ = 93835542528000.

The previous prime is 398488469183999. The next prime is 398488469184079. The reversal of 398488469184000 is 481964884893.

398488469184000 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 88 + 469 + 1 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398488469184000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1786943807889 + ... + 1786943808111.

It is an arithmetic number, because the mean of its divisors is an integer number (433396323360).

Almost surely, 2^{398488469184000} is an apocalyptic number.

398488469184000 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 398488469184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832120940851200).

398488469184000 is an abundant number, since it is smaller than the sum of its proper divisors (1265753412518400).

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

398488469184000 is a wasteful number, since it uses less digits than its factorization.

398488469184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 398488469184000 in words is "three hundred ninety-eight trillion, four hundred eighty-eight billion, four hundred sixty-nine million, one hundred eighty-four thousand".