408484848 has 80 divisors (see below), whose sum is σ = 1084930560. Its totient is φ = 132384768.

The previous prime is 408484837. The next prime is 408484871. The reversal of 408484848 is 848484804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 408484797 and 408484806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273961 + ... + 275447.

It is an arithmetic number, because the mean of its divisors is an integer number (13561632).

Almost surely, 2^408484848 is an apocalyptic number.

408484848 is a gapful number since it is divisible by the number (48) 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 408484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465280).

408484848 is an abundant number, since it is smaller than the sum of its proper divisors (676445712).

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

408484848 is a wasteful number, since it uses less digits than its factorization.

408484848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 408484848 is about 20211.0080896525. The cubic root of 408484848 is about 741.9796324476.

The spelling of 408484848 in words is "four hundred eight million, four hundred eighty-four thousand, eight hundred forty-eight".