663524400 has 480 divisors, whose sum is σ = 2727825408. Its totient is φ = 133862400.

The previous prime is 663524371. The next prime is 663524413. The reversal of 663524400 is 4425366.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3973117 + ... + 3973283.

Almost surely, 2^663524400 is an apocalyptic number.

663524400 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 663524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363912704).

663524400 is an abundant number, since it is smaller than the sum of its proper divisors (2064301008).

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

663524400 is a wasteful number, since it uses less digits than its factorization.

663524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 663524400 is about 25758.9673706071. The cubic root of 663524400 is about 872.2057912860.

Adding to 663524400 its reverse (4425366), we get a palindrome (667949766).

The spelling of 663524400 in words is "six hundred sixty-three million, five hundred twenty-four thousand, four hundred".