1398059520 has 640 divisors, whose sum is σ = 5609640960. Its totient is φ = 291962880.

The previous prime is 1398059519. The next prime is 1398059543. The reversal of 1398059520 is 259508931.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 20866527 + ... + 20866593.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064).

Almost surely, 2^1398059520 is an apocalyptic number.

1398059520 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 1398059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

1398059520 is an abundant number, since it is smaller than the sum of its proper divisors (4211581440).

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

1398059520 is a wasteful number, since it uses less digits than its factorization.

1398059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 1398059520 is about 37390.6341213946. The cubic root of 1398059520 is about 1118.1718475006.

The spelling of 1398059520 in words is "one billion, three hundred ninety-eight million, fifty-nine thousand, five hundred twenty".