1481424480 has 144 divisors (see below), whose sum is σ = 5275277280. Its totient is φ = 377862144.

The previous prime is 1481424479. The next prime is 1481424499. The reversal of 1481424480 is 844241841.

1481424480 is a `hidden beast` number, since 148 + 14 + 24 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756 + ... + 55484.

It is an arithmetic number, because the mean of its divisors is an integer number (36633870).

Almost surely, 2^1481424480 is an apocalyptic number.

1481424480 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 1481424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637638640).

1481424480 is an abundant number, since it is smaller than the sum of its proper divisors (3793852800).

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

1481424480 is a wasteful number, since it uses less digits than its factorization.

1481424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44773 (or 44762 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 1481424480 is about 38489.2774678871. The cubic root of 1481424480 is about 1139.9693435893.

The spelling of 1481424480 in words is "one billion, four hundred eighty-one million, four hundred twenty-four thousand, four hundred eighty".