404073300 has 144 divisors (see below), whose sum is σ = 1223046720. Its totient is φ = 102896640.

The previous prime is 404073287. The next prime is 404073301. The reversal of 404073300 is 3370404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404073301) 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 47 ways as a sum of consecutive naturals, for example, 654592 + ... + 655208.

It is an arithmetic number, because the mean of its divisors is an integer number (8493380).

Almost surely, 2^404073300 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 404073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611523360).

404073300 is an abundant number, since it is smaller than the sum of its proper divisors (818973420).

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

404073300 is a wasteful number, since it uses less digits than its factorization.

404073300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 404073300 is about 20101.5745651926. The cubic root of 404073300 is about 739.2988854870.

The spelling of 404073300 in words is "four hundred four million, seventy-three thousand, three hundred".