1002663480 has 288 divisors, whose sum is σ = 3792711600. Its totient is φ = 211341312.

The previous prime is 1002663479. The next prime is 1002663499. The reversal of 1002663480 is 843662001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993216 + ... + 994224.

Almost surely, 2^1002663480 is an apocalyptic number.

1002663480 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 1002663480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896355800).

1002663480 is an abundant number, since it is smaller than the sum of its proper divisors (2790048120).

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

1002663480 is a wasteful number, since it uses less digits than its factorization.

1002663480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1002663480 is about 31664.8619134838. The cubic root of 1002663480 is about 1000.8870395948.

The spelling of 1002663480 in words is "one billion, two million, six hundred sixty-three thousand, four hundred eighty".