199006461 has 48 divisors (see below), whose sum is σ = 306157488. Its totient is φ = 124416000.

The previous prime is 199006427. The next prime is 199006463. The reversal of 199006461 is 164600991.

199006461 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 0 + 646 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7322436 + 191684025 = 2706^2 + 13845^2 .

It is not a de Polignac number, because 199006461 - 2¹⁵ = 198973693 is a prime.

It is a super-3 number, since 3×199006461³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199006463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1970311 + ... + 1970411.

It is an arithmetic number, because the mean of its divisors is an integer number (6378281).

Almost surely, 2^199006461 is an apocalyptic number.

It is an amenable number.

199006461 is a deficient number, since it is larger than the sum of its proper divisors (107151027).

199006461 is a wasteful number, since it uses less digits than its factorization.

199006461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 199006461 is about 14106.9649818804. The cubic root of 199006461 is about 583.8335644516.

The spelling of 199006461 in words is "one hundred ninety-nine million, six thousand, four hundred sixty-one".