1413835290 has 256 divisors, whose sum is σ = 4534272000. Its totient is φ = 306685440.

The previous prime is 1413835249. The next prime is 1413835333. The reversal of 1413835290 is 925383141.

1413835290 is a `hidden beast` number, since 141 + 383 + 52 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3456606 + ... + 3457014.

It is an arithmetic number, because the mean of its divisors is an integer number (17712000).

Almost surely, 2^1413835290 is an apocalyptic number.

1413835290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413835290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267136000).

1413835290 is an abundant number, since it is smaller than the sum of its proper divisors (3120436710).

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

1413835290 is a wasteful number, since it uses less digits than its factorization.

1413835290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1413835290 is about 37601.0011834791. The cubic root of 1413835290 is about 1122.3619610579.

The spelling of 1413835290 in words is "one billion, four hundred thirteen million, eight hundred thirty-five thousand, two hundred ninety".