1413009240 has 128 divisors (see below), whose sum is σ = 4444070400. Its totient is φ = 359009280.

The previous prime is 1413009223. The next prime is 1413009259. The reversal of 1413009240 is 429003141.

1413009240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413009240² = 3993190224650755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1413009240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208221 + ... + 214899.

It is an arithmetic number, because the mean of its divisors is an integer number (34719300).

Almost surely, 2^1413009240 is an apocalyptic number.

1413009240 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 1413009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222035200).

1413009240 is an abundant number, since it is smaller than the sum of its proper divisors (3031061160).

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

1413009240 is a wasteful number, since it uses less digits than its factorization.

1413009240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1413009240 is about 37590.0151636043. The cubic root of 1413009240 is about 1122.1433340545.

The spelling of 1413009240 in words is "one billion, four hundred thirteen million, nine thousand, two hundred forty".