398684607552 has 1680 divisors, whose sum is σ = 1601039784960. Its totient is φ = 95800320000.

The previous prime is 398684607473. The next prime is 398684607557. The reversal of 398684607552 is 255706486893.

It is a happy number.

398684607552 is a `hidden beast` number, since 39 + 8 + 6 + 8 + 46 + 0 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 398684607552.

It is not an unprimeable number, because it can be changed into a prime (398684607557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3947372302 + ... + 3947372402.

It is an arithmetic number, because the mean of its divisors is an integer number (952999872).

Almost surely, 2^398684607552 is an apocalyptic number.

398684607552 is a gapful number since it is divisible by the number (32) 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 398684607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800519892480).

398684607552 is an abundant number, since it is smaller than the sum of its proper divisors (1202355177408).

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

398684607552 is a wasteful number, since it uses less digits than its factorization.

398684607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 398684607552 in words is "three hundred ninety-eight billion, six hundred eighty-four million, six hundred seven thousand, five hundred fifty-two".