1413058680 has 192 divisors, whose sum is σ = 5060970720. Its totient is φ = 339072000.

The previous prime is 1413058663. The next prime is 1413058693. The reversal of 1413058680 is 868503141.

1413058680 is a `hidden beast` number, since 1 + 41 + 30 + 586 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398194 + ... + 401726.

Almost surely, 2^1413058680 is an apocalyptic number.

1413058680 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 1413058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530485360).

1413058680 is an abundant number, since it is smaller than the sum of its proper divisors (3647912040).

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

1413058680 is a wasteful number, since it uses less digits than its factorization.

1413058680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1413058680 is about 37590.6727792946. The cubic root of 1413058680 is about 1122.1564215178.

The spelling of 1413058680 in words is "one billion, four hundred thirteen million, fifty-eight thousand, six hundred eighty".