201000400 has 30 divisors (see below), whose sum is σ = 482904422. Its totient is φ = 80400000.

The previous prime is 201000389. The next prime is 201000439. The reversal of 201000400 is 4000102.

201000400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 52940176 + 148060224 = 7276^2 + 12168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250851 + ... + 251650.

Almost surely, 2^201000400 is an apocalyptic number.

201000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000400 is an abundant number, since it is smaller than the sum of its proper divisors (281904022).

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

201000400 is a wasteful number, since it uses less digits than its factorization.

201000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502519 (or 502508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 201000400 is about 14177.4609856631. The cubic root of 201000400 is about 585.7769888397.

Adding to 201000400 its reverse (4000102), we get a palindrome (205000502).

The spelling of 201000400 in words is "two hundred one million, four hundred", and thus it is an aban number.