1483302480 has 320 divisors, whose sum is σ = 5206809600. Its totient is φ = 346255360.

The previous prime is 1483302461. The next prime is 1483302487. The reversal of 1483302480 is 842033841.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483302487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13862587 + ... + 13862693.

It is an arithmetic number, because the mean of its divisors is an integer number (16271280).

Almost surely, 2^1483302480 is an apocalyptic number.

1483302480 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 1483302480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603404800).

1483302480 is an abundant number, since it is smaller than the sum of its proper divisors (3723507120).

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

1483302480 is a wasteful number, since it uses less digits than its factorization.

1483302480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1483302480 is about 38513.6661459280. Note that the first 3 decimals coincide. The cubic root of 1483302480 is about 1140.4508527575.

The spelling of 1483302480 in words is "one billion, four hundred eighty-three million, three hundred two thousand, four hundred eighty".