400420305 has 12 divisors (see below), whose sum is σ = 694061940. Its totient is φ = 213557472.

The previous prime is 400420291. The next prime is 400420331. The reversal of 400420305 is 503024004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 347188689 = 7296^2 + 18633^2 .

It is not a de Polignac number, because 400420305 - 2⁷ = 400420177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4449070 + ... + 4449159.

It is an arithmetic number, because the mean of its divisors is an integer number (57838495).

Almost surely, 2^400420305 is an apocalyptic number.

400420305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400420305 is a deficient number, since it is larger than the sum of its proper divisors (293641635).

400420305 is a wasteful number, since it uses less digits than its factorization.

400420305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898240 (or 8898237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 400420305 is about 20010.5048661947. The cubic root of 400420305 is about 737.0642788674.

Adding to 400420305 its reverse (503024004), we get a palindrome (903444309).

The spelling of 400420305 in words is "four hundred million, four hundred twenty thousand, three hundred five".