200209920 has 160 divisors (see below), whose sum is σ = 648172800. Its totient is φ = 52715520.

The previous prime is 200209907. The next prime is 200209931. The reversal of 200209920 is 29902002.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005981 + ... + 1006179.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^200209920 is an apocalyptic number.

200209920 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 200209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324086400).

200209920 is an abundant number, since it is smaller than the sum of its proper divisors (447962880).

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

200209920 is a wasteful number, since it uses less digits than its factorization.

200209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 200209920 is about 14149.5554700492. Note that the first 3 decimals coincide. The cubic root of 200209920 is about 585.0080793683.

The spelling of 200209920 in words is "two hundred million, two hundred nine thousand, nine hundred twenty".