200624424 has 192 divisors, whose sum is σ = 686024640. Its totient is φ = 48061440.

The previous prime is 200624387. The next prime is 200624441. The reversal of 200624424 is 424426002.

200624424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200624394 and 200624403.

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, 167572 + ... + 168764.

It is an arithmetic number, because the mean of its divisors is an integer number (3573045).

Almost surely, 2^200624424 is an apocalyptic number.

200624424 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 200624424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343012320).

200624424 is an abundant number, since it is smaller than the sum of its proper divisors (485400216).

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

200624424 is a wasteful number, since it uses less digits than its factorization.

200624424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 200624424 is about 14164.1951412708. The cubic root of 200624424 is about 585.4115243062.

The spelling of 200624424 in words is "two hundred million, six hundred twenty-four thousand, four hundred twenty-four".