404775450 has 72 divisors (see below), whose sum is σ = 1089797436. Its totient is φ = 107712000.

The previous prime is 404775433. The next prime is 404775461. The reversal of 404775450 is 54577404.

404775450 is a `hidden beast` number, since 40 + 4 + 77 + 545 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95824521 + 308950929 = 9789^2 + 17577^2 .

It is a super-3 number, since 3×404775450³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395940 + ... + 396960.

Almost surely, 2^404775450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404775450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544898718).

404775450 is an abundant number, since it is smaller than the sum of its proper divisors (685021986).

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

404775450 is a wasteful number, since it uses less digits than its factorization.

404775450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 404775450 is about 20119.0320343698. The cubic root of 404775450 is about 739.7268592618.

It can be divided in two parts, 4047 and 75450, that added together give a palindrome (79497).

The spelling of 404775450 in words is "four hundred four million, seven hundred seventy-five thousand, four hundred fifty".