200400408 has 96 divisors (see below), whose sum is σ = 587517840. Its totient is φ = 61344000.

The previous prime is 200400401. The next prime is 200400491. The reversal of 200400408 is 804004002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234510 + ... + 235362.

Almost surely, 2^200400408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293758920).

200400408 is an abundant number, since it is smaller than the sum of its proper divisors (387117432).

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

200400408 is a wasteful number, since it uses less digits than its factorization.

200400408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200400408 is about 14156.2851059167. The cubic root of 200400408 is about 585.1935541869.

The spelling of 200400408 in words is "two hundred million, four hundred thousand, four hundred eight".