404220420 has 72 divisors (see below), whose sum is σ = 1228008600. Its totient is φ = 107627520.

The previous prime is 404220409. The next prime is 404220433. The reversal of 404220420 is 24022404.

404220420 is a `hidden beast` number, since 404 + 220 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60933636 + 343286784 = 7806^2 + 18528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404220393 and 404220402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157306 + ... + 159854.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^404220420 is an apocalyptic number.

It is an amenable number.

404220420 is an abundant number, since it is smaller than the sum of its proper divisors (823788180).

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

404220420 is a wasteful number, since it uses less digits than its factorization.

404220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404220420 is about 20105.2336469885. The cubic root of 404220420 is about 739.3885989576.

Adding to 404220420 its reverse (24022404), we get a palindrome (428242824).

The spelling of 404220420 in words is "four hundred four million, two hundred twenty thousand, four hundred twenty".