200909408 has 72 divisors (see below), whose sum is σ = 472690512. Its totient is φ = 83752704.

The previous prime is 200909377. The next prime is 200909411. The reversal of 200909408 is 804909002.

200909408 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56285 + ... + 59747.

It is an arithmetic number, because the mean of its divisors is an integer number (6565146).

Almost surely, 2^200909408 is an apocalyptic number.

200909408 is a gapful number since it is divisible by the number (28) 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 200909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236345256).

200909408 is an abundant number, since it is smaller than the sum of its proper divisors (271781104).

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

200909408 is a wasteful number, since it uses less digits than its factorization.

200909408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 200909408 is about 14174.2515851808. The cubic root of 200909408 is about 585.6885826062.

The spelling of 200909408 in words is "two hundred million, nine hundred nine thousand, four hundred eight".