1398411648 has 128 divisors (see below), whose sum is σ = 4144341600. Its totient is φ = 464209920.

The previous prime is 1398411617. The next prime is 1398411649. The reversal of 1398411648 is 8461148931.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398411649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1011918 + ... + 1013298.

Almost surely, 2^1398411648 is an apocalyptic number.

1398411648 is a gapful number since it is divisible by the number (18) 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 1398411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072170800).

1398411648 is an abundant number, since it is smaller than the sum of its proper divisors (2745929952).

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

1398411648 is a wasteful number, since it uses less digits than its factorization.

1398411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1398411648 is about 37395.3425977086. The cubic root of 1398411648 is about 1118.2657172676.

The spelling of 1398411648 in words is "one billion, three hundred ninety-eight million, four hundred eleven thousand, six hundred forty-eight".