427102560 has 288 divisors, whose sum is σ = 1570907520. Its totient is φ = 105283584.

The previous prime is 427102553. The next prime is 427102561. The reversal of 427102560 is 65201724.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×427102560³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427102561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786921 + ... + 1787159.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2^427102560 is an apocalyptic number.

427102560 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 427102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785453760).

427102560 is an abundant number, since it is smaller than the sum of its proper divisors (1143804960).

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

427102560 is a wasteful number, since it uses less digits than its factorization.

427102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 427102560 is about 20666.4597839107. The cubic root of 427102560 is about 753.0851054320.

The spelling of 427102560 in words is "four hundred twenty-seven million, one hundred two thousand, five hundred sixty".