420404004 has 36 divisors (see below), whose sum is σ = 1065764700. Its totient is φ = 139728960.

The previous prime is 420403979. The next prime is 420404011. The reversal of 420404004 is 400404024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 260887104 + 159516900 = 16152^2 + 12630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 4167 + ... + 29294.

It is an arithmetic number, because the mean of its divisors is an integer number (29604575).

Almost surely, 2^420404004 is an apocalyptic number.

It is an amenable number.

420404004 is an abundant number, since it is smaller than the sum of its proper divisors (645360696).

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

420404004 is a wasteful number, since it uses less digits than its factorization.

420404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33820 (or 33815 counting only the distinct ones).

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

The square root of 420404004 is about 20503.7558510630. The cubic root of 420404004 is about 749.1272835486.

Adding to 420404004 its reverse (400404024), we get a palindrome (820808028).

The spelling of 420404004 in words is "four hundred twenty million, four hundred four thousand, four".