398972770560 has 1440 divisors, whose sum is σ = 1794978662400. Its totient is φ = 84081328128.

The previous prime is 398972770541. The next prime is 398972770583. The reversal of 398972770560 is 65077279893.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 462308689 + ... + 462309551.

It is an arithmetic number, because the mean of its divisors is an integer number (1246512960).

Almost surely, 2^398972770560 is an apocalyptic number.

398972770560 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 398972770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897489331200).

398972770560 is an abundant number, since it is smaller than the sum of its proper divisors (1396005891840).

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

398972770560 is an equidigital number, since it uses as much as digits as its factorization.

398972770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 398972770560 in words is "three hundred ninety-eight billion, nine hundred seventy-two million, seven hundred seventy thousand, five hundred sixty".