404486720820 has 480 divisors, whose sum is σ = 1643917228800. Its totient is φ = 80849995776.

The previous prime is 404486720777. The next prime is 404486720831. The reversal of 404486720820 is 28027684404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2728776 + ... + 2873184.

It is an arithmetic number, because the mean of its divisors is an integer number (3424827560).

Almost surely, 2^404486720820 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 404486720820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821958614400).

404486720820 is an abundant number, since it is smaller than the sum of its proper divisors (1239430507980).

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

404486720820 is a wasteful number, since it uses less digits than its factorization.

404486720820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144469 (or 144458 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 404486720820 in words is "four hundred four billion, four hundred eighty-six million, seven hundred twenty thousand, eight hundred twenty".