408777648 has 40 divisors (see below), whose sum is σ = 1118129328. Its totient is φ = 128243712.

The previous prime is 408777617. The next prime is 408777683. The reversal of 408777648 is 846777804.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 408777648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249661 + ... + 251292.

Almost surely, 2^408777648 is an apocalyptic number.

408777648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408777648 is an abundant number, since it is smaller than the sum of its proper divisors (709351680).

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

408777648 is a wasteful number, since it uses less digits than its factorization.

408777648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500981 (or 500975 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 408777648 is about 20218.2503694063. The cubic root of 408777648 is about 742.1568725988.

The spelling of 408777648 in words is "four hundred eight million, seven hundred seventy-seven thousand, six hundred forty-eight".