1000400301 has 20 divisors (see below), whose sum is σ = 1495416252. Its totient is φ = 666491328.

The previous prime is 1000400273. The next prime is 1000400321. The reversal of 1000400301 is 1030040001.

It can be written as a sum of positive squares in 2 ways, for example, as 566678025 + 433722276 = 23805^2 + 20826^2 .

It is not a de Polignac number, because 1000400301 - 2⁶ = 1000400237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158335 + ... + 164531.

Almost surely, 2^1000400301 is an apocalyptic number.

It is an amenable number.

1000400301 is a deficient number, since it is larger than the sum of its proper divisors (495015951).

1000400301 is an equidigital number, since it uses as much as digits as its factorization.

1000400301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000400301 is about 31629.1052829510. The cubic root of 1000400301 is about 1000.1334158661.

Adding to 1000400301 its reverse (1030040001), we get a palindrome (2030440302).

The spelling of 1000400301 in words is "one billion, four hundred thousand, three hundred one".