1663400232 has 256 divisors, whose sum is σ = 5215795200. Its totient is φ = 487710720.

The previous prime is 1663400203. The next prime is 1663400237. The reversal of 1663400232 is 2320043661.

1663400232 is a `hidden beast` number, since 1 + 6 + 634 + 0 + 0 + 23 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1663400196 and 1663400205.

It is not an unprimeable number, because it can be changed into a prime (1663400237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8443558 + ... + 8443754.

It is an arithmetic number, because the mean of its divisors is an integer number (20374200).

Almost surely, 2^1663400232 is an apocalyptic number.

1663400232 is a gapful number since it is divisible by the number (12) 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 1663400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607897600).

1663400232 is an abundant number, since it is smaller than the sum of its proper divisors (3552394968).

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

1663400232 is a wasteful number, since it uses less digits than its factorization.

1663400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1663400232 is about 40784.8039347990. The cubic root of 1663400232 is about 1184.8560376305.

Adding to 1663400232 its reverse (2320043661), we get a palindrome (3983443893).

The spelling of 1663400232 in words is "one billion, six hundred sixty-three million, four hundred thousand, two hundred thirty-two".