1478579760 has 240 divisors, whose sum is σ = 6009097536. Its totient is φ = 318062592.

The previous prime is 1478579747. The next prime is 1478579797. The reversal of 1478579760 is 679758741.

1478579760 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 579 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1478579697 and 1478579706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77052 + ... + 94308.

Almost surely, 2^1478579760 is an apocalyptic number.

1478579760 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 1478579760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004548768).

1478579760 is an abundant number, since it is smaller than the sum of its proper divisors (4530517776).

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

1478579760 is a wasteful number, since it uses less digits than its factorization.

1478579760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17300 (or 17291 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 1478579760 is about 38452.3050024313. The cubic root of 1478579760 is about 1139.2391968994.

The spelling of 1478579760 in words is "one billion, four hundred seventy-eight million, five hundred seventy-nine thousand, seven hundred sixty".