1398856320 has 192 divisors, whose sum is σ = 5040921600. Its totient is φ = 356775936.

The previous prime is 1398856289. The next prime is 1398856337. The reversal of 1398856320 is 236588931.

It is a happy number.

1398856320 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127201 + ... + 137759.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 2^1398856320 is an apocalyptic number.

1398856320 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 1398856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

1398856320 is an abundant number, since it is smaller than the sum of its proper divisors (3642065280).

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

1398856320 is a wasteful number, since it uses less digits than its factorization.

1398856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10607 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1398856320 is about 37401.2876783674. The cubic root of 1398856320 is about 1118.3842347671.

The spelling of 1398856320 in words is "one billion, three hundred ninety-eight million, eight hundred fifty-six thousand, three hundred twenty".