1399957920 has 144 divisors (see below), whose sum is σ = 4791051720. Its totient is φ = 372252672.

The previous prime is 1399957913. The next prime is 1399957921. The reversal of 1399957920 is 297599931.

It can be written as a sum of positive squares in 4 ways, for example, as 1298593296 + 101364624 = 36036^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1399957921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587772 + ... + 590148.

Almost surely, 2^1399957920 is an apocalyptic number.

1399957920 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 1399957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395525860).

1399957920 is an abundant number, since it is smaller than the sum of its proper divisors (3391093800).

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

1399957920 is a wasteful number, since it uses less digits than its factorization.

1399957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The square root of 1399957920 is about 37416.0115458610. The cubic root of 1399957920 is about 1118.6777337713.

The spelling of 1399957920 in words is "one billion, three hundred ninety-nine million, nine hundred fifty-seven thousand, nine hundred twenty".