404495820 has 72 divisors (see below), whose sum is σ = 1239673344. Its totient is φ = 106748928.

The previous prime is 404495801. The next prime is 404495821. The reversal of 404495820 is 28594404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404495821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5877 + ... + 29043.

Almost surely, 2^404495820 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 404495820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619836672).

404495820 is an abundant number, since it is smaller than the sum of its proper divisors (835177524).

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

404495820 is a wasteful number, since it uses less digits than its factorization.

404495820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23279 (or 23274 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 404495820 is about 20112.0814437492. The cubic root of 404495820 is about 739.5564788098.

The spelling of 404495820 in words is "four hundred four million, four hundred ninety-five thousand, eight hundred twenty".