1413727224 has 384 divisors, whose sum is σ = 4841625600. Its totient is φ = 339655680.

The previous prime is 1413727213. The next prime is 1413727253. The reversal of 1413727224 is 4227273141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9004554 + ... + 9004710.

It is an arithmetic number, because the mean of its divisors is an integer number (12608400).

Almost surely, 2^1413727224 is an apocalyptic number.

1413727224 is a gapful number since it is divisible by the number (14) 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 1413727224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420812800).

1413727224 is an abundant number, since it is smaller than the sum of its proper divisors (3427898376).

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

1413727224 is a wasteful number, since it uses less digits than its factorization.

1413727224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 1413727224 is about 37599.5641464100. The cubic root of 1413727224 is about 1122.3333645496. Note that the first 4 decimals are identical.

The spelling of 1413727224 in words is "one billion, four hundred thirteen million, seven hundred twenty-seven thousand, two hundred twenty-four".