1482468480 has 160 divisors (see below), whose sum is σ = 5294347740. Its totient is φ = 395311104.

The previous prime is 1482468469. The next prime is 1482468503. The reversal of 1482468480 is 848642841.

1482468480 is a `hidden beast` number, since 148 + 2 + 468 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1364268096 + 118200384 = 36936^2 + 10872^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37542 + ... + 66138.

Almost surely, 2^1482468480 is an apocalyptic number.

1482468480 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 1482468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647173870).

1482468480 is an abundant number, since it is smaller than the sum of its proper divisors (3811879260).

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

1482468480 is an equidigital number, since it uses as much as digits as its factorization.

1482468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28628 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 1482468480 is about 38502.8372980486. The cubic root of 1482468480 is about 1140.2370698101.

The spelling of 1482468480 in words is "one billion, four hundred eighty-two million, four hundred sixty-eight thousand, four hundred eighty".