401300200 has 72 divisors (see below), whose sum is σ = 1085379750. Its totient is φ = 137585280.

The previous prime is 401300191. The next prime is 401300201. The reversal of 401300200 is 2003104.

It can be written as a sum of positive squares in 3 ways, for example, as 288388324 + 112911876 = 16982^2 + 10626^2 .

It is a super-2 number, since 2×401300200² = 322083701040080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (401300201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10675 + ... + 30274.

Almost surely, 2^401300200 is an apocalyptic number.

401300200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401300200 is an abundant number, since it is smaller than the sum of its proper divisors (684079550).

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

401300200 is a wasteful number, since it uses less digits than its factorization.

401300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40979 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 401300200 is about 20032.4786284673. The cubic root of 401300200 is about 737.6037659223.

Adding to 401300200 its reverse (2003104), we get a palindrome (403303304).

The spelling of 401300200 in words is "four hundred one million, three hundred thousand, two hundred".