1398752160 has 288 divisors, whose sum is σ = 4894198848. Its totient is φ = 335462400.

The previous prime is 1398752149. The next prime is 1398752161. The reversal of 1398752160 is 612578931.

It is not an unprimeable number, because it can be changed into a prime (1398752161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487960 + ... + 3488360.

It is an arithmetic number, because the mean of its divisors is an integer number (16993746).

Almost surely, 2^1398752160 is an apocalyptic number.

1398752160 is a gapful number since it is divisible by the number (10) 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 1398752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447099424).

1398752160 is an abundant number, since it is smaller than the sum of its proper divisors (3495446688).

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

1398752160 is a wasteful number, since it uses less digits than its factorization.

1398752160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1398752160 is about 37399.8951870189. The cubic root of 1398752160 is about 1118.3564754726.

The spelling of 1398752160 in words is "one billion, three hundred ninety-eight million, seven hundred fifty-two thousand, one hundred sixty".