200393424 has 360 divisors, whose sum is σ = 740952576. Its totient is φ = 49420800.

The previous prime is 200393423. The next prime is 200393461. The reversal of 200393424 is 424393002.

It is a happy number.

200393424 is a `hidden beast` number, since 200 + 39 + 3 + 424 = 666.

200393424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200393423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3780982 + ... + 3781034.

Almost surely, 2^200393424 is an apocalyptic number.

200393424 is a gapful number since it is divisible by the number (24) 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 200393424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288).

200393424 is an abundant number, since it is smaller than the sum of its proper divisors (540559152).

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

200393424 is a wasteful number, since it uses less digits than its factorization.

200393424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 200393424 is about 14156.0384288826. The cubic root of 200393424 is about 585.1867560649.

The spelling of 200393424 in words is "two hundred million, three hundred ninety-three thousand, four hundred twenty-four".