199261440 has 324 divisors, whose sum is σ = 804254724. Its totient is φ = 45416448.

The previous prime is 199261421. The next prime is 199261453. The reversal of 199261440 is 44162991.

It is a happy number.

199261440 is a `hidden beast` number, since 199 + 26 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 122943744 = 8736^2 + 11088^2 .

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 = 199261395 and 199261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564304 + ... + 564656.

Almost surely, 2^199261440 is an apocalyptic number.

199261440 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 199261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402127362).

199261440 is an abundant number, since it is smaller than the sum of its proper divisors (604993284).

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

199261440 is a wasteful number, since it uses less digits than its factorization.

199261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199261440 is about 14115.9994332672. Note that the first 3 decimals coincide. The cubic root of 199261440 is about 584.0828055475.

The spelling of 199261440 in words is "one hundred ninety-nine million, two hundred sixty-one thousand, four hundred forty".