398449215360 has 960 divisors, whose sum is σ = 1641940822080. Its totient is φ = 88990949376.

The previous prime is 398449215347. The next prime is 398449215361. The reversal of 398449215360 is 63512944893.

398449215360 is a `hidden beast` number, since 3 + 9 + 84 + 4 + 9 + 21 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 398449215297 and 398449215306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398449215361) 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 119 ways as a sum of consecutive naturals, for example, 649998414 + ... + 649999026.

It is an arithmetic number, because the mean of its divisors is an integer number (1710355023).

Almost surely, 2^398449215360 is an apocalyptic number.

398449215360 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 398449215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820970411040).

398449215360 is an abundant number, since it is smaller than the sum of its proper divisors (1243491606720).

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

398449215360 is an equidigital number, since it uses as much as digits as its factorization.

398449215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 398449215360 in words is "three hundred ninety-eight billion, four hundred forty-nine million, two hundred fifteen thousand, three hundred sixty".