200400240 has 40 divisors (see below), whose sum is σ = 621241488. Its totient is φ = 53440000.

The previous prime is 200400223. The next prime is 200400241. The reversal of 200400240 is 42004002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417261 + ... + 417740.

Almost surely, 2^200400240 is an apocalyptic number.

200400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200400240 is an abundant number, since it is smaller than the sum of its proper divisors (420841248).

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

200400240 is a wasteful number, since it uses less digits than its factorization.

200400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835017 (or 835011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 200400240 is about 14156.2791721554. The cubic root of 200400240 is about 585.1933906600.

Adding to 200400240 its reverse (42004002), we get a palindrome (242404242).

The spelling of 200400240 in words is "two hundred million, four hundred thousand, two hundred forty".