1413191520 has 216 divisors, whose sum is σ = 5222913696. Its totient is φ = 347802624.

The previous prime is 1413191509. The next prime is 1413191569. The reversal of 1413191520 is 251913141.

It is a happy number.

1413191520 is a `hidden beast` number, since 1 + 4 + 131 + 9 + 1 + 520 = 666.

It is a super-2 number, since 2×1413191520² = 3994220544399820800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240457 + ... + 246263.

It is an arithmetic number, because the mean of its divisors is an integer number (24180156).

Almost surely, 2^1413191520 is an apocalyptic number.

1413191520 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 1413191520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611456848).

1413191520 is an abundant number, since it is smaller than the sum of its proper divisors (3809722176).

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

1413191520 is a wasteful number, since it uses less digits than its factorization.

1413191520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1413191520 is about 37592.4396654434. The cubic root of 1413191520 is about 1122.1915846218.

The spelling of 1413191520 in words is "one billion, four hundred thirteen million, one hundred ninety-one thousand, five hundred twenty".