199124400 has 240 divisors, whose sum is σ = 694134144. Its totient is φ = 48599040.

The previous prime is 199124369. The next prime is 199124423. The reversal of 199124400 is 4421991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877087 + ... + 877313.

Almost surely, 2^199124400 is an apocalyptic number.

199124400 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 199124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347067072).

199124400 is an abundant number, since it is smaller than the sum of its proper divisors (495009744).

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

199124400 is a wasteful number, since it uses less digits than its factorization.

199124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 199124400 is about 14111.1445318939. The cubic root of 199124400 is about 583.9488758649.

The spelling of 199124400 in words is "one hundred ninety-nine million, one hundred twenty-four thousand, four hundred".