427819008 has 96 divisors (see below), whose sum is σ = 1207959480. Its totient is φ = 134217728.

The previous prime is 427819001. The next prime is 427819031. The reversal of 427819008 is 800918724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×427819008² = 366058207212208128, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427819001) by changing a digit.

In principle, a polygon with 427819008 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25165816 + ... + 25165832.

Almost surely, 2^427819008 is an apocalyptic number.

427819008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603979740).

427819008 is an abundant number, since it is smaller than the sum of its proper divisors (780140472).

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

427819008 is an frugal number, since it uses more digits than its factorization.

427819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 427819008 is about 20683.7861137655. The cubic root of 427819008 is about 753.5059605611.

The spelling of 427819008 in words is "four hundred twenty-seven million, eight hundred nineteen thousand, eight".