201150400 has 126 divisors (see below), whose sum is σ = 544565840. Its totient is φ = 73075200.

The previous prime is 201150377. The next prime is 201150401. The reversal of 201150400 is 4051102.

It is a super-2 number, since 2×201150400² = 80922966840320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201150401) 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 17 ways as a sum of consecutive naturals, for example, 193081 + ... + 194119.

Almost surely, 2^201150400 is an apocalyptic number.

201150400 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 201150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272282920).

201150400 is an abundant number, since it is smaller than the sum of its proper divisors (343415440).

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

201150400 is a wasteful number, since it uses less digits than its factorization.

201150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 201150400 is about 14182.7500859319. The cubic root of 201150400 is about 585.9226679860.

The spelling of 201150400 in words is "two hundred one million, one hundred fifty thousand, four hundred".