1413224280 has 512 divisors, whose sum is σ = 5573836800. Its totient is φ = 315187200.

The previous prime is 1413224269. The next prime is 1413224291. The reversal of 1413224280 is 824223141.

1413224280 is a `hidden beast` number, since 1 + 413 + 2 + 242 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1413224269) and next prime (1413224291).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7398985 + ... + 7399175.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1413224280 is an apocalyptic number.

1413224280 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 1413224280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

1413224280 is an abundant number, since it is smaller than the sum of its proper divisors (4160612520).

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

1413224280 is a wasteful number, since it uses less digits than its factorization.

1413224280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1413224280 is about 37592.8753888287. The cubic root of 1413224280 is about 1122.2002559429.

The spelling of 1413224280 in words is "one billion, four hundred thirteen million, two hundred twenty-four thousand, two hundred eighty".