404000302420 has 384 divisors, whose sum is σ = 1090000945152. Its totient is φ = 123612825600.

The previous prime is 404000302411. The next prime is 404000302457. The reversal of 404000302420 is 24203000404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136623582 + ... + 136626538.

It is an arithmetic number, because the mean of its divisors is an integer number (2838544128).

Almost surely, 2^404000302420 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 404000302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545000472576).

404000302420 is an abundant number, since it is smaller than the sum of its proper divisors (686000642732).

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

404000302420 is a wasteful number, since it uses less digits than its factorization.

404000302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 404000302420 its reverse (24203000404), we get a palindrome (428203302824).

The spelling of 404000302420 in words is "four hundred four billion, three hundred two thousand, four hundred twenty".