427618561 has 24 divisors (see below), whose sum is σ = 470373120. Its totient is φ = 388416000.

The previous prime is 427618559. The next prime is 427618571. The reversal of 427618561 is 165816724.

It is not a de Polignac number, because 427618561 - 2¹ = 427618559 is a prime.

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (427618501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789080 + ... + 1789318.

It is an arithmetic number, because the mean of its divisors is an integer number (19598880).

Almost surely, 2^427618561 is an apocalyptic number.

427618561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

427618561 is a deficient number, since it is larger than the sum of its proper divisors (42754559).

427618561 is a wasteful number, since it uses less digits than its factorization.

427618561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 427618561 is about 20678.9400356982. The cubic root of 427618561 is about 753.3882615643.

The spelling of 427618561 in words is "four hundred twenty-seven million, six hundred eighteen thousand, five hundred sixty-one".