663828480 has 480 divisors, whose sum is σ = 2752822800. Its totient is φ = 151732224.

The previous prime is 663828469. The next prime is 663828491. The reversal of 663828480 is 84828366.

It is a happy number.

663828480 is a `hidden beast` number, since 6 + 638 + 2 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663828469) and next prime (663828491).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×663828480² = 881336501718220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94832637 + ... + 94832643.

Almost surely, 2^663828480 is an apocalyptic number.

663828480 is a gapful number since it is divisible by the number (60) 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 663828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376411400).

663828480 is an abundant number, since it is smaller than the sum of its proper divisors (2088994320).

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

663828480 is an frugal number, since it uses more digits than its factorization.

663828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 663828480 is about 25764.8691050430. The cubic root of 663828480 is about 872.3390091110.

The spelling of 663828480 in words is "six hundred sixty-three million, eight hundred twenty-eight thousand, four hundred eighty".