1478656480 has 96 divisors (see below), whose sum is σ = 4085351424. Its totient is φ = 495161856.

The previous prime is 1478656451. The next prime is 1478656483. The reversal of 1478656480 is 846568741.

It is a super-3 number, since 3×1478656480³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478656483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32809 + ... + 63511.

It is an arithmetic number, because the mean of its divisors is an integer number (42555744).

Almost surely, 2^1478656480 is an apocalyptic number.

1478656480 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 1478656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042675712).

1478656480 is an abundant number, since it is smaller than the sum of its proper divisors (2606694944).

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

1478656480 is a wasteful number, since it uses less digits than its factorization.

1478656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30768 (or 30760 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 1478656480 is about 38453.3025889845. The cubic root of 1478656480 is about 1139.2589006994.

The spelling of 1478656480 in words is "one billion, four hundred seventy-eight million, six hundred fifty-six thousand, four hundred eighty".