1663199460 has 192 divisors, whose sum is σ = 5815272960. Its totient is φ = 391564800.

The previous prime is 1663199429. The next prime is 1663199477. The reversal of 1663199460 is 649913661.

1663199460 is a `hidden beast` number, since 1 + 6 + 631 + 9 + 9 + 4 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156310 + ... + 166610.

It is an arithmetic number, because the mean of its divisors is an integer number (30287880).

Almost surely, 2^1663199460 is an apocalyptic number.

1663199460 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 1663199460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907636480).

1663199460 is an abundant number, since it is smaller than the sum of its proper divisors (4152073500).

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

1663199460 is a wasteful number, since it uses less digits than its factorization.

1663199460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1663199460 is about 40782.3425026077. The cubic root of 1663199460 is about 1184.8083651014.

The spelling of 1663199460 in words is "one billion, six hundred sixty-three million, one hundred ninety-nine thousand, four hundred sixty".