1413283840 has 136 divisors (see below), whose sum is σ = 3586102560. Its totient is φ = 533200896.

The previous prime is 1413283793. The next prime is 1413283841. The reversal of 1413283840 is 483823141.

It is a junction number, because it is equal to n+sod(n) for n = 1413283796 and 1413283805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413283841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6225807 + ... + 6226033.

Almost surely, 2^1413283840 is an apocalyptic number.

1413283840 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 1413283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793051280).

1413283840 is an abundant number, since it is smaller than the sum of its proper divisors (2172818720).

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

1413283840 is an frugal number, since it uses more digits than its factorization.

1413283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1413283840 is about 37593.6675518630. The cubic root of 1413283840 is about 1122.2160206754.

The spelling of 1413283840 in words is "one billion, four hundred thirteen million, two hundred eighty-three thousand, eight hundred forty".