400420420 has 12 divisors (see below), whose sum is σ = 840882924. Its totient is φ = 160168160.

The previous prime is 400420417. The next prime is 400420439. The reversal of 400420420 is 24024004.

It can be written as a sum of positive squares in 2 ways, for example, as 212401476 + 188018944 = 14574^2 + 13712^2 .

It is a super-3 number, since 3×400420420³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400420394 and 400420403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10010491 + ... + 10010530.

It is an arithmetic number, because the mean of its divisors is an integer number (70073577).

Almost surely, 2^400420420 is an apocalyptic number.

It is an amenable number.

400420420 is an abundant number, since it is smaller than the sum of its proper divisors (440462504).

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

400420420 is a wasteful number, since it uses less digits than its factorization.

400420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021030 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400420420 is about 20010.5077396852. The cubic root of 400420420 is about 737.0643494286.

Adding to 400420420 its reverse (24024004), we get a palindrome (424444424).

The spelling of 400420420 in words is "four hundred million, four hundred twenty thousand, four hundred twenty".