199463040 has 512 divisors, whose sum is σ = 863654400. Its totient is φ = 42467328.

The previous prime is 199463039. The next prime is 199463051. The reversal of 199463040 is 40364991.

199463040 is a `hidden beast` number, since 19 + 9 + 4 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199462986 and 199463004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056272 + ... + 2056368.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^199463040 is an apocalyptic number.

199463040 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 199463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

199463040 is an abundant number, since it is smaller than the sum of its proper divisors (664191360).

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

199463040 is a wasteful number, since it uses less digits than its factorization.

199463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 199463040 is about 14123.1384614044. The cubic root of 199463040 is about 584.2797183820.

The spelling of 199463040 in words is "one hundred ninety-nine million, four hundred sixty-three thousand, forty".