1398046720 has 256 divisors, whose sum is σ = 4076801280. Its totient is φ = 449839104.

The previous prime is 1398046709. The next prime is 1398046757. The reversal of 1398046720 is 276408931.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26378214 + ... + 26378266.

It is an arithmetic number, because the mean of its divisors is an integer number (15925005).

Almost surely, 2^1398046720 is an apocalyptic number.

1398046720 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 1398046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038400640).

1398046720 is an abundant number, since it is smaller than the sum of its proper divisors (2678754560).

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

1398046720 is an frugal number, since it uses more digits than its factorization.

1398046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1398046720 is about 37390.4629551441. The cubic root of 1398046720 is about 1118.1684349985.

The spelling of 1398046720 in words is "one billion, three hundred ninety-eight million, forty-six thousand, seven hundred twenty".