408480400 has 60 divisors (see below), whose sum is σ = 997521844. Its totient is φ = 160704000.

The previous prime is 408480389. The next prime is 408480409. The reversal of 408480400 is 4084804.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 401761936 = 2592^2 + 20044^2 .

It is not an unprimeable number, because it can be changed into a prime (408480409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16030 + ... + 32770.

Almost surely, 2^408480400 is an apocalyptic number.

408480400 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 408480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498760922).

408480400 is an abundant number, since it is smaller than the sum of its proper divisors (589041444).

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

408480400 is a wasteful number, since it uses less digits than its factorization.

408480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16820 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 408480400 is about 20210.8980503094. The cubic root of 408480400 is about 741.9769392939.

408480400 divided by its reverse (4084804) gives a square (100 = 10²).

The spelling of 408480400 in words is "four hundred eight million, four hundred eighty thousand, four hundred".