1398293120 has 128 divisors (see below), whose sum is σ = 3857362560. Its totient is φ = 474771456.

The previous prime is 1398293111. The next prime is 1398293123. The reversal of 1398293120 is 213928931.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1398293123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477902 + ... + 480818.

It is an arithmetic number, because the mean of its divisors is an integer number (30135645).

Almost surely, 2^1398293120 is an apocalyptic number.

1398293120 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 1398293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928681280).

1398293120 is an abundant number, since it is smaller than the sum of its proper divisors (2459069440).

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

1398293120 is a wasteful number, since it uses less digits than its factorization.

1398293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1398293120 is about 37393.7577678414. The cubic root of 1398293120 is about 1118.2341220063.

The spelling of 1398293120 in words is "one billion, three hundred ninety-eight million, two hundred ninety-three thousand, one hundred twenty".