1398972960 has 864 divisors, whose sum is σ = 6357851136. Its totient is φ = 273715200.

The previous prime is 1398972941. The next prime is 1398972989. The reversal of 1398972960 is 692798931.

It is a super-2 number, since 2×1398972960² = 3914250685622323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1398972897 and 1398972906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37810062 + ... + 37810098.

It is an arithmetic number, because the mean of its divisors is an integer number (7358624).

Almost surely, 2^1398972960 is an apocalyptic number.

1398972960 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 1398972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178925568).

1398972960 is an abundant number, since it is smaller than the sum of its proper divisors (4958878176).

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

1398972960 is a wasteful number, since it uses less digits than its factorization.

1398972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1398972960 is about 37402.8469504662. The cubic root of 1398972960 is about 1118.4153184244.

The spelling of 1398972960 in words is "one billion, three hundred ninety-eight million, nine hundred seventy-two thousand, nine hundred sixty".