427698816 has 192 divisors, whose sum is σ = 1255946400. Its totient is φ = 128563200.

The previous prime is 427698809. The next prime is 427698833. The reversal of 427698816 is 618896724.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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, 7011426 + ... + 7011486.

Almost surely, 2^427698816 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 427698816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627973200).

427698816 is an abundant number, since it is smaller than the sum of its proper divisors (828247584).

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

427698816 is a wasteful number, since it uses less digits than its factorization.

427698816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 427698816 is about 20680.8804454743. The cubic root of 427698816 is about 753.4353903205.

The spelling of 427698816 in words is "four hundred twenty-seven million, six hundred ninety-eight thousand, eight hundred sixteen".