201430320 has 320 divisors, whose sum is σ = 803948544. Its totient is φ = 40550400.

The previous prime is 201430309. The next prime is 201430349. The reversal of 201430320 is 23034102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201430320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502120 + ... + 502520.

Almost surely, 2^201430320 is an apocalyptic number.

201430320 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 201430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401974272).

201430320 is an abundant number, since it is smaller than the sum of its proper divisors (602518224).

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

201430320 is a wasteful number, since it uses less digits than its factorization.

201430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201430320 is about 14192.6149810386. The cubic root of 201430320 is about 586.1943311342.

Adding to 201430320 its reverse (23034102), we get a palindrome (224464422).

The spelling of 201430320 in words is "two hundred one million, four hundred thirty thousand, three hundred twenty".