404212500 has 108 divisors (see below), whose sum is σ = 1277472924. Its totient is φ = 107760000.

The previous prime is 404212447. The next prime is 404212547. The reversal of 404212500 is 5212404.

404212500 is a `hidden beast` number, since 404 + 212 + 50 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 359936784 + 44275716 = 18972^2 + 6654^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 110704 + ... + 114296.

It is an arithmetic number, because the mean of its divisors is an integer number (11828453).

Almost surely, 2^404212500 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 404212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638736462).

404212500 is an abundant number, since it is smaller than the sum of its proper divisors (873260424).

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

404212500 is a wasteful number, since it uses less digits than its factorization.

404212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404212500 is about 20105.0366823838. The cubic root of 404212500 is about 739.3837699125.

Adding to 404212500 its reverse (5212404), we get a palindrome (409424904).

The spelling of 404212500 in words is "four hundred four million, two hundred twelve thousand, five hundred".