201414600 has 120 divisors (see below), whose sum is σ = 699599010. Its totient is φ = 53706240.

The previous prime is 201414593. The next prime is 201414659. The reversal of 201414600 is 6414102.

201414600 is a `hidden beast` number, since 20 + 1 + 41 + 4 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 109369764 + 92044836 = 10458^2 + 9594^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9984 + ... + 22416.

Almost surely, 2^201414600 is an apocalyptic number.

201414600 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 201414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349799505).

201414600 is an abundant number, since it is smaller than the sum of its proper divisors (498184410).

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

201414600 is a wasteful number, since it uses less digits than its factorization.

201414600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12461 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201414600 is about 14192.0611610858. The cubic root of 201414600 is about 586.1790815025.

Adding to 201414600 its reverse (6414102), we get a palindrome (207828702).

The spelling of 201414600 in words is "two hundred one million, four hundred fourteen thousand, six hundred".