427578560 has 112 divisors (see below), whose sum is σ = 1099145376. Its totient is φ = 157827072.

The previous prime is 427578559. The next prime is 427578563. The reversal of 427578560 is 65875724.

It is not an unprimeable number, because it can be changed into a prime (427578563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 287579 + ... + 289061.

It is an arithmetic number, because the mean of its divisors is an integer number (9813798).

Almost surely, 2^427578560 is an apocalyptic number.

427578560 is a gapful number since it is divisible by the number (40) 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 427578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549572688).

427578560 is an abundant number, since it is smaller than the sum of its proper divisors (671566816).

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

427578560 is a wasteful number, since it uses less digits than its factorization.

427578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The square root of 427578560 is about 20677.9728213382. The cubic root of 427578560 is about 753.3647692697.

The spelling of 427578560 in words is "four hundred twenty-seven million, five hundred seventy-eight thousand, five hundred sixty".