408084484000 has 96 divisors (see below), whose sum is σ = 1002908088000. Its totient is φ = 163193990400.

The previous prime is 408084483979. The next prime is 408084484007. The reversal of 408084484000 is 484480804.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (408084484007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20706151 + ... + 20725849.

It is an arithmetic number, because the mean of its divisors is an integer number (10446959250).

Almost surely, 2^408084484000 is an apocalyptic number.

408084484000 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 408084484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501454044000).

408084484000 is an abundant number, since it is smaller than the sum of its proper divisors (594823604000).

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

408084484000 is a wasteful number, since it uses less digits than its factorization.

408084484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24903 (or 24885 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 408084484000 in words is "four hundred eight billion, eighty-four million, four hundred eighty-four thousand".