1409279940 has 144 divisors (see below), whose sum is σ = 4682648880. Its totient is φ = 341483520.

The previous prime is 1409279929. The next prime is 1409279941. The reversal of 1409279940 is 499729041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 169676676 + 1239603264 = 13026^2 + 35208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1409279941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80800 + ... + 96680.

It is an arithmetic number, because the mean of its divisors is an integer number (32518395).

Almost surely, 2^1409279940 is an apocalyptic number.

1409279940 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 1409279940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341324440).

1409279940 is an abundant number, since it is smaller than the sum of its proper divisors (3273368940).

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

1409279940 is a wasteful number, since it uses less digits than its factorization.

1409279940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1409279940 is about 37540.3774621407. The cubic root of 1409279940 is about 1121.1552546125.

The spelling of 1409279940 in words is "one billion, four hundred nine million, two hundred seventy-nine thousand, nine hundred forty".