404770000 has 100 divisors (see below), whose sum is σ = 1038070836. Its totient is φ = 152320000.

The previous prime is 404769997. The next prime is 404770013. The reversal of 404770000 is 77404.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 375739456 + 29030544 = 19384^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168810 + ... + 171190.

Almost surely, 2^404770000 is an apocalyptic number.

404770000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519035418).

404770000 is an abundant number, since it is smaller than the sum of its proper divisors (633300836).

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

404770000 is a wasteful number, since it uses less digits than its factorization.

404770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 404770000 is about 20118.8965900220. The cubic root of 404770000 is about 739.7235392899.

It can be divided in two parts, 4047 and 70000, that added together give a palindrome (74047).

The spelling of 404770000 in words is "four hundred four million, seven hundred seventy thousand".