1398456960 has 128 divisors (see below), whose sum is σ = 4472496000. Its totient is φ = 371675136.

The previous prime is 1398456959. The next prime is 1398457007. The reversal of 1398456960 is 696548931.

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

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, 669037 + ... + 671123.

It is an arithmetic number, because the mean of its divisors is an integer number (34941375).

Almost surely, 2^1398456960 is an apocalyptic number.

1398456960 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 1398456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236248000).

1398456960 is an abundant number, since it is smaller than the sum of its proper divisors (3074039040).

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

1398456960 is a wasteful number, since it uses less digits than its factorization.

1398456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 1398456960 is about 37395.9484436483. The cubic root of 1398456960 is about 1118.2777953298.

The spelling of 1398456960 in words is "one billion, three hundred ninety-eight million, four hundred fifty-six thousand, nine hundred sixty".