200258240 has 252 divisors, whose sum is σ = 616909104. Its totient is φ = 60622848.

The previous prime is 200258239. The next prime is 200258251. The reversal of 200258240 is 42852002.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 8706869 + ... + 8706891.

It is an arithmetic number, because the mean of its divisors is an integer number (2448052).

Almost surely, 2^200258240 is an apocalyptic number.

200258240 is a gapful number since it is divisible by the number (20) 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 200258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308454552).

200258240 is an abundant number, since it is smaller than the sum of its proper divisors (416650864).

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

200258240 is a wasteful number, since it uses less digits than its factorization.

200258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 200258240 is about 14151.2628411743. The cubic root of 200258240 is about 585.0551388357.

The spelling of 200258240 in words is "two hundred million, two hundred fifty-eight thousand, two hundred forty".