200478240 has 240 divisors, whose sum is σ = 731808000. Its totient is φ = 51632640.

The previous prime is 200478217. The next prime is 200478259. The reversal of 200478240 is 42874002.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401511 + ... + 402009.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^200478240 is an apocalyptic number.

200478240 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 200478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904000).

200478240 is an abundant number, since it is smaller than the sum of its proper divisors (531329760).

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

200478240 is a wasteful number, since it uses less digits than its factorization.

200478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 200478240 is about 14159.0338653455. The cubic root of 200478240 is about 585.2693040151.

The spelling of 200478240 in words is "two hundred million, four hundred seventy-eight thousand, two hundred forty".