201400320 has 224 divisors, whose sum is σ = 707745600. Its totient is φ = 48496640.

The previous prime is 201400319. The next prime is 201400373. The reversal of 201400320 is 23004102.

It is a super-2 number, since 2×201400320² = 81124177792204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201400296 and 201400305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351606 + ... + 1351754.

Almost surely, 2^201400320 is an apocalyptic number.

201400320 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 201400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353872800).

201400320 is an abundant number, since it is smaller than the sum of its proper divisors (506345280).

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

201400320 is a wasteful number, since it uses less digits than its factorization.

201400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201400320 is about 14191.5580539982. The cubic root of 201400320 is about 586.1652280958.

Adding to 201400320 its reverse (23004102), we get a palindrome (224404422).

The spelling of 201400320 in words is "two hundred one million, four hundred thousand, three hundred twenty".