427066416 has 240 divisors, whose sum is σ = 1436098560. Its totient is φ = 115914240.

The previous prime is 427066403. The next prime is 427066417. The reversal of 427066416 is 614660724.

427066416 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 6 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427066417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2468506 + ... + 2468678.

It is an arithmetic number, because the mean of its divisors is an integer number (5983744).

Almost surely, 2^427066416 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 427066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718049280).

427066416 is an abundant number, since it is smaller than the sum of its proper divisors (1009032144).

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

427066416 is a wasteful number, since it uses less digits than its factorization.

427066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427066416 is about 20665.5853050428. The cubic root of 427066416 is about 753.0638612949.

The spelling of 427066416 in words is "four hundred twenty-seven million, sixty-six thousand, four hundred sixteen".