1396281920 has 84 divisors (see below), whose sum is σ = 3654739452. Its totient is φ = 507724800.

The previous prime is 1396281919. The next prime is 1396281947. The reversal of 1396281920 is 291826931.

It can be written as a sum of positive squares in 2 ways, for example, as 431309824 + 964972096 = 20768^2 + 31064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20690 + ... + 56750.

It is an arithmetic number, because the mean of its divisors is an integer number (43508803).

Almost surely, 2^1396281920 is an apocalyptic number.

1396281920 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 1396281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827369726).

1396281920 is an abundant number, since it is smaller than the sum of its proper divisors (2258457532).

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

1396281920 is a wasteful number, since it uses less digits than its factorization.

1396281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36100 (or 36079 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 1396281920 is about 37366.8559019889. The cubic root of 1396281920 is about 1117.6977367146.

The spelling of 1396281920 in words is "one billion, three hundred ninety-six million, two hundred eighty-one thousand, nine hundred twenty".