1409228240 has 120 divisors (see below), whose sum is σ = 3827067552. Its totient is φ = 481178880.

The previous prime is 1409228237. The next prime is 1409228263. The reversal of 1409228240 is 428229041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1409228197 and 1409228206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202855 + ... + 1204025.

Almost surely, 2^1409228240 is an apocalyptic number.

1409228240 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 1409228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913533776).

1409228240 is an abundant number, since it is smaller than the sum of its proper divisors (2417839312).

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

1409228240 is a wasteful number, since it uses less digits than its factorization.

1409228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1409228240 is about 37539.6888639211. The cubic root of 1409228240 is about 1121.1415444347.

The spelling of 1409228240 in words is "one billion, four hundred nine million, two hundred twenty-eight thousand, two hundred forty".