404406450 has 288 divisors, whose sum is σ = 1357948800. Its totient is φ = 84188160.

The previous prime is 404406449. The next prime is 404406463. The reversal of 404406450 is 54604404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1735534 + ... + 1735766.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2^404406450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404406450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678974400).

404406450 is an abundant number, since it is smaller than the sum of its proper divisors (953542350).

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

404406450 is a wasteful number, since it uses less digits than its factorization.

404406450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404406450 is about 20109.8595221349. The cubic root of 404406450 is about 739.5020085059.

The spelling of 404406450 in words is "four hundred four million, four hundred six thousand, four hundred fifty".