401312200 has 48 divisors (see below), whose sum is σ = 987944580. Its totient is φ = 151080960.

The previous prime is 401312113. The next prime is 401312203. The reversal of 401312200 is 2213104.

It can be written as a sum of positive squares in 6 ways, for example, as 78535044 + 322777156 = 8862^2 + 17966^2 .

It is a super-2 number, since 2×401312200² = 322102963737680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401312203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55617 + ... + 62416.

Almost surely, 2^401312200 is an apocalyptic number.

401312200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401312200 is an abundant number, since it is smaller than the sum of its proper divisors (586632380).

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

401312200 is a wasteful number, since it uses less digits than its factorization.

401312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118066 (or 118057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 401312200 is about 20032.7781398387. The cubic root of 401312200 is about 737.6111179886.

Adding to 401312200 its reverse (2213104), we get a palindrome (403525304).

The spelling of 401312200 in words is "four hundred one million, three hundred twelve thousand, two hundred".