1413022320 has 400 divisors, whose sum is σ = 5289090048. Its totient is φ = 348364800.

The previous prime is 1413022313. The next prime is 1413022327. The reversal of 1413022320 is 232203141.

1413022320 is a `hidden beast` number, since 1 + 41 + 302 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1413022313) and next prime (1413022327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1413022293 and 1413022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413022327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11126097 + ... + 11126223.

Almost surely, 2^1413022320 is an apocalyptic number.

1413022320 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 1413022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644545024).

1413022320 is an abundant number, since it is smaller than the sum of its proper divisors (3876067728).

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

1413022320 is a wasteful number, since it uses less digits than its factorization.

1413022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1413022320 is about 37590.1891455736. The cubic root of 1413022320 is about 1122.1467965442.

Adding to 1413022320 its reverse (232203141), we get a palindrome (1645225461).

The spelling of 1413022320 in words is "one billion, four hundred thirteen million, twenty-two thousand, three hundred twenty".