201830400 has 312 divisors, whose sum is σ = 751606160. Its totient is φ = 53084160.

The previous prime is 201830399. The next prime is 201830411. The reversal of 201830400 is 4038102.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764764 + ... + 2764836.

Almost surely, 2^201830400 is an apocalyptic number.

201830400 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 201830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375803080).

201830400 is an abundant number, since it is smaller than the sum of its proper divisors (549775760).

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

201830400 is an equidigital number, since it uses as much as digits as its factorization.

201830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

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

The square root of 201830400 is about 14206.7026434708. The cubic root of 201830400 is about 586.5821733229.

Adding to 201830400 its reverse (4038102), we get a palindrome (205868502).

The spelling of 201830400 in words is "two hundred one million, eight hundred thirty thousand, four hundred".