408047848 has 64 divisors (see below), whose sum is σ = 846190800. Its totient is φ = 183306240.

The previous prime is 408047813. The next prime is 408047851. The reversal of 408047848 is 848740804.

It can be written as a sum of positive squares in 8 ways, for example, as 133217764 + 274830084 = 11542^2 + 16578^2 .

It is a super-2 number, since 2×408047848² = 333006092514862208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997468 + ... + 997876.

Almost surely, 2^408047848 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 408047848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423095400).

408047848 is an abundant number, since it is smaller than the sum of its proper divisors (438142952).

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

408047848 is a wasteful number, since it uses less digits than its factorization.

408047848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 408047848 is about 20200.1942564917. The cubic root of 408047848 is about 741.7149463388.

The spelling of 408047848 in words is "four hundred eight million, forty-seven thousand, eight hundred forty-eight".