1479768000 has 112 divisors (see below), whose sum is σ = 4886273184. Its totient is φ = 394598400.

The previous prime is 1479767999. The next prime is 1479768019. The reversal of 1479768000 is 8679741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6829 + ... + 54828.

Almost surely, 2^1479768000 is an apocalyptic number.

1479768000 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 1479768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443136592).

1479768000 is an abundant number, since it is smaller than the sum of its proper divisors (3406505184).

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

1479768000 is an equidigital number, since it uses as much as digits as its factorization.

1479768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61687 (or 61667 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1479768000 is about 38467.7527287467. The cubic root of 1479768000 is about 1139.5442930818.

The spelling of 1479768000 in words is "one billion, four hundred seventy-nine million, seven hundred sixty-eight thousand".