408828576 has 144 divisors (see below), whose sum is σ = 1177618176. Its totient is φ = 124121088.

The previous prime is 408828571. The next prime is 408828587. The reversal of 408828576 is 675828804.

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

It is not an unprimeable number, because it can be changed into a prime (408828571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1833201 + ... + 1833423.

It is an arithmetic number, because the mean of its divisors is an integer number (8177904).

Almost surely, 2^408828576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588809088).

408828576 is an abundant number, since it is smaller than the sum of its proper divisors (768789600).

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

408828576 is a wasteful number, since it uses less digits than its factorization.

408828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 408828576 is about 20219.5097863425. The cubic root of 408828576 is about 742.1876921212.

The spelling of 408828576 in words is "four hundred eight million, eight hundred twenty-eight thousand, five hundred seventy-six".