414878848 has 32 divisors (see below), whose sum is σ = 830762460. Its totient is φ = 206373888.

The previous prime is 414878839. The next prime is 414878857. The reversal of 414878848 is 848878414.

It is an interprime number because it is at equal distance from previous prime (414878839) and next prime (414878857).

It can be written as a sum of positive squares in 2 ways, for example, as 292820544 + 122058304 = 17112^2 + 11048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 414878795 and 414878804.

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 3 ways as a sum of consecutive naturals, for example, 16990 + ... + 33442.

Almost surely, 2^414878848 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 414878848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415381230).

414878848 is an abundant number, since it is smaller than the sum of its proper divisors (415883612).

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

414878848 is a wasteful number, since it uses less digits than its factorization.

414878848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16652 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 52.

The square root of 414878848 is about 20368.5750115220. The cubic root of 414878848 is about 745.8310010171.

The spelling of 414878848 in words is "four hundred fourteen million, eight hundred seventy-eight thousand, eight hundred forty-eight".