1413793920 has 512 divisors, whose sum is σ = 5738895360. Its totient is φ = 287539200.

The previous prime is 1413793919. The next prime is 1413793951. The reversal of 1413793920 is 293973141.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10792255 + ... + 10792385.

It is an arithmetic number, because the mean of its divisors is an integer number (11208780).

Almost surely, 2^1413793920 is an apocalyptic number.

1413793920 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 1413793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869447680).

1413793920 is an abundant number, since it is smaller than the sum of its proper divisors (4325101440).

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

1413793920 is a wasteful number, since it uses less digits than its factorization.

1413793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 1413793920 is about 37600.4510611243. The cubic root of 1413793920 is about 1122.3510138687.

The spelling of 1413793920 in words is "one billion, four hundred thirteen million, seven hundred ninety-three thousand, nine hundred twenty".