1413238680 has 384 divisors, whose sum is σ = 5633971200. Its totient is φ = 300174336.

The previous prime is 1413238661. The next prime is 1413238691. The reversal of 1413238680 is 868323141.

1413238680 is a `hidden beast` number, since 1 + 413 + 238 + 6 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2144191 + ... + 2144849.

It is an arithmetic number, because the mean of its divisors is an integer number (14671800).

Almost surely, 2^1413238680 is an apocalyptic number.

1413238680 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 1413238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816985600).

1413238680 is an abundant number, since it is smaller than the sum of its proper divisors (4220732520).

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

1413238680 is a wasteful number, since it uses less digits than its factorization.

1413238680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1413238680 is about 37593.0669139936. The cubic root of 1413238680 is about 1122.2040674702.

The spelling of 1413238680 in words is "one billion, four hundred thirteen million, two hundred thirty-eight thousand, six hundred eighty".