427778208 has 432 divisors, whose sum is σ = 1553924736. Its totient is φ = 110223360.

The previous prime is 427778203. The next prime is 427778209. The reversal of 427778208 is 802877724.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (427778203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9101641 + ... + 9101687.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^427778208 is an apocalyptic number.

427778208 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 427778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776962368).

427778208 is an abundant number, since it is smaller than the sum of its proper divisors (1126146528).

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

427778208 is a wasteful number, since it uses less digits than its factorization.

427778208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 427778208 is about 20682.7998104705. The cubic root of 427778208 is about 753.4820064902.

The spelling of 427778208 in words is "four hundred twenty-seven million, seven hundred seventy-eight thousand, two hundred eight".