199929540 has 96 divisors (see below), whose sum is σ = 590413824. Its totient is φ = 50474880.

The previous prime is 199929517. The next prime is 199929551. The reversal of 199929540 is 45929991.

It is a super-3 number, since 3×199929540³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 199929540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86277 + ... + 88563.

It is an arithmetic number, because the mean of its divisors is an integer number (6150144).

Almost surely, 2^199929540 is an apocalyptic number.

199929540 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 199929540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295206912).

199929540 is an abundant number, since it is smaller than the sum of its proper divisors (390484284).

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

199929540 is a wasteful number, since it uses less digits than its factorization.

199929540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The square root of 199929540 is about 14139.6442670953. The cubic root of 199929540 is about 584.7348641463.

The spelling of 199929540 in words is "one hundred ninety-nine million, nine hundred twenty-nine thousand, five hundred forty".