1663405200 has 480 divisors, whose sum is σ = 6310310400. Its totient is φ = 415457280.

The previous prime is 1663405199. The next prime is 1663405213. The reversal of 1663405200 is 25043661.

1663405200 is a `hidden beast` number, since 1 + 6 + 634 + 0 + 5 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14720344 + ... + 14720456.

It is an arithmetic number, because the mean of its divisors is an integer number (13146480).

Almost surely, 2^1663405200 is an apocalyptic number.

1663405200 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 1663405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155155200).

1663405200 is an abundant number, since it is smaller than the sum of its proper divisors (4646905200).

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

1663405200 is a wasteful number, since it uses less digits than its factorization.

1663405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1663405200 is about 40784.8648397908. The cubic root of 1663405200 is about 1184.8572172141.

Adding to 1663405200 its reverse (25043661), we get a palindrome (1688448861).

The spelling of 1663405200 in words is "one billion, six hundred sixty-three million, four hundred five thousand, two hundred".