408084480 has 336 divisors, whose sum is σ = 1502779824. Its totient is φ = 106168320.

The previous prime is 408084463. The next prime is 408084487. The reversal of 408084480 is 84480804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408084487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953260 + ... + 9953300.

It is an arithmetic number, because the mean of its divisors is an integer number (4472559).

Almost surely, 2^408084480 is an apocalyptic number.

408084480 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 408084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751389912).

408084480 is an abundant number, since it is smaller than the sum of its proper divisors (1094695344).

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

408084480 is an frugal number, since it uses more digits than its factorization.

408084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 408084480 is about 20201.1009600962. The cubic root of 408084480 is about 741.7371411941.

The spelling of 408084480 in words is "four hundred eight million, eighty-four thousand, four hundred eighty".