408040000 has 105 divisors (see below), whose sum is σ = 1021923661. Its totient is φ = 161600000.

The previous prime is 408039923. The next prime is 408040007. The reversal of 408040000 is 40804.

The square root of 408040000 is 20200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 88059456 + 319980544 = 9384^2 + 17888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408040007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4039950 + ... + 4040050.

Almost surely, 2^408040000 is an apocalyptic number.

408040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

408040000 is the 20200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408040000

408040000 is an abundant number, since it is smaller than the sum of its proper divisors (613883661).

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

408040000 is an frugal number, since it uses more digits than its factorization.

408040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 108 counting only the distinct ones).

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

The cubic root of 408040000 is about 741.7101911643.

Multiplying 408040000 by its sum of digits (16), we get a square (6528640000 = 80800²).

408040000 divided by its sum of digits (16) gives a square (25502500 = 5050²).

Adding to 408040000 its reverse (40804), we get a palindrome (408080804).

Multiplying 408040000 by its reverse (40804), we get a 4-th power (16649664160000 = 2020⁴).

408040000 divided by its reverse (40804) gives a 4-th power (10000 = 10⁴).

The spelling of 408040000 in words is "four hundred eight million, forty thousand".