404240420 has 96 divisors (see below), whose sum is σ = 905845248. Its totient is φ = 151345152.

The previous prime is 404240407. The next prime is 404240423. The reversal of 404240420 is 24042404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404240392 and 404240401.

It is not an unprimeable number, because it can be changed into a prime (404240423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950592 + ... + 2950728.

It is an arithmetic number, because the mean of its divisors is an integer number (9435888).

Almost surely, 2^404240420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452922624).

404240420 is an abundant number, since it is smaller than the sum of its proper divisors (501604828).

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

404240420 is a wasteful number, since it uses less digits than its factorization.

404240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 404240420 is about 20105.7310237653. The cubic root of 404240420 is about 739.4007932353.

Adding to 404240420 its reverse (24042404), we get a palindrome (428282824).

The spelling of 404240420 in words is "four hundred four million, two hundred forty thousand, four hundred twenty".