199031040 has 288 divisors, whose sum is σ = 762330240. Its totient is φ = 48881664.

The previous prime is 199031033. The next prime is 199031083. The reversal of 199031040 is 40130991.

199031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×199031040² = 79226709766963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 199030995 and 199031013.

It is a congruent number.

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, 449059 + ... + 449501.

It is an arithmetic number, because the mean of its divisors is an integer number (2646980).

Almost surely, 2^199031040 is an apocalyptic number.

199031040 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 199031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381165120).

199031040 is an abundant number, since it is smaller than the sum of its proper divisors (563299200).

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

199031040 is a wasteful number, since it uses less digits than its factorization.

199031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 199031040 is about 14107.8361203978. The cubic root of 199031040 is about 583.8575996083.

The spelling of 199031040 in words is "one hundred ninety-nine million, thirty-one thousand, forty".