1413634320 has 360 divisors, whose sum is σ = 5849886744. Its totient is φ = 303980544.

The previous prime is 1413634307. The next prime is 1413634399. The reversal of 1413634320 is 234363141.

1413634320 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 634 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121088016 + 1292546304 = 11004^2 + 35952^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 598582 + ... + 600938.

Almost surely, 2^1413634320 is an apocalyptic number.

1413634320 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 1413634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924943372).

1413634320 is an abundant number, since it is smaller than the sum of its proper divisors (4436252424).

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

1413634320 is a wasteful number, since it uses less digits than its factorization.

1413634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1413634320 is about 37598.3286862594. The cubic root of 1413634320 is about 1122.3087790564.

Adding to 1413634320 its reverse (234363141), we get a palindrome (1647997461).

The spelling of 1413634320 in words is "one billion, four hundred thirteen million, six hundred thirty-four thousand, three hundred twenty".