201047400 has 192 divisors, whose sum is σ = 715430400. Its totient is φ = 51840000.

The previous prime is 201047333. The next prime is 201047411. The reversal of 201047400 is 4740102.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166800 + ... + 168000.

It is an arithmetic number, because the mean of its divisors is an integer number (3726200).

Almost surely, 2^201047400 is an apocalyptic number.

201047400 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 201047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357715200).

201047400 is an abundant number, since it is smaller than the sum of its proper divisors (514383000).

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

201047400 is a wasteful number, since it uses less digits than its factorization.

201047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 201047400 is about 14179.1184493254. The cubic root of 201047400 is about 585.8226427668.

Adding to 201047400 its reverse (4740102), we get a palindrome (205787502).

The spelling of 201047400 in words is "two hundred one million, forty-seven thousand, four hundred".