404445200 has 60 divisors (see below), whose sum is σ = 973935060. Its totient is φ = 161402880.

The previous prime is 404445131. The next prime is 404445241. The reversal of 404445200 is 2544404.

It can be written as a sum of positive squares in 6 ways, for example, as 40551424 + 363893776 = 6368^2 + 19076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226712 + ... + 228488.

It is an arithmetic number, because the mean of its divisors is an integer number (16232251).

Almost surely, 2^404445200 is an apocalyptic number.

404445200 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 404445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486967530).

404445200 is an abundant number, since it is smaller than the sum of its proper divisors (569489860).

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

404445200 is a wasteful number, since it uses less digits than its factorization.

404445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 404445200 is about 20110.8229568061. The cubic root of 404445200 is about 739.5256273079.

Adding to 404445200 its reverse (2544404), we get a palindrome (406989604).

The spelling of 404445200 in words is "four hundred four million, four hundred forty-five thousand, two hundred".