404214100 has 72 divisors (see below), whose sum is σ = 948689280. Its totient is φ = 148907520.

The previous prime is 404214073. The next prime is 404214119. The reversal of 404214100 is 1412404.

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 23 ways as a sum of consecutive naturals, for example, 77371 + ... + 82429.

It is an arithmetic number, because the mean of its divisors is an integer number (13176240).

Almost surely, 2^404214100 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 404214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474344640).

404214100 is an abundant number, since it is smaller than the sum of its proper divisors (544475180).

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

404214100 is a wasteful number, since it uses less digits than its factorization.

404214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 404214100 is about 20105.0764733686. The cubic root of 404214100 is about 739.3847454823.

Adding to 404214100 its reverse (1412404), we get a palindrome (405626504).

It can be divided in two parts, 40421 and 4100, that added together give a square (44521 = 211²).

The spelling of 404214100 in words is "four hundred four million, two hundred fourteen thousand, one hundred".