408444100 has 81 divisors (see below), whose sum is σ = 927132717. Its totient is φ = 156182880.

The previous prime is 408444061. The next prime is 408444109. The reversal of 408444100 is 1444804.

It is a happy number.

The square root of 408444100 is 20210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 147039876 + 261404224 = 12126^2 + 16168^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408444109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8690277 + ... + 8690323.

Almost surely, 2^408444100 is an apocalyptic number.

408444100 is the 20210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408444100

408444100 is an abundant number, since it is smaller than the sum of its proper divisors (518688617).

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

408444100 is a wasteful number, since it uses less digits than its factorization.

408444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The cubic root of 408444100 is about 741.9549598136.

Multiplying 408444100 by its sum of digits (25), we get a square (10211102500 = 101050²).

408444100 divided by its sum of digits (25) gives a square (16337764 = 4042²).

Adding to 408444100 its reverse (1444804), we get a palindrome (409888904).

Multiplying 408444100 by its reverse (1444804), we get a square (590121669456400 = 24292420²).

It can be divided in two parts, 40844 and 4100, that added together give a palindrome (44944).

The spelling of 408444100 in words is "four hundred eight million, four hundred forty-four thousand, one hundred".