199882464 has 48 divisors (see below), whose sum is σ = 555560208. Its totient is φ = 62707712.

The previous prime is 199882429. The next prime is 199882477. The reversal of 199882464 is 464288991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×199882464² = 79905998829422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59607 + ... + 62870.

It is an arithmetic number, because the mean of its divisors is an integer number (11574171).

Almost surely, 2^199882464 is an apocalyptic number.

It is an amenable number.

199882464 is an abundant number, since it is smaller than the sum of its proper divisors (355677744).

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

199882464 is a wasteful number, since it uses less digits than its factorization.

199882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122507 (or 122499 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 199882464 is about 14137.9794878901. The cubic root of 199882464 is about 584.6889660776.

The spelling of 199882464 in words is "one hundred ninety-nine million, eight hundred eighty-two thousand, four hundred sixty-four".