427260258 has 80 divisors (see below), whose sum is σ = 1016632320. Its totient is φ = 133739424.

The previous prime is 427260233. The next prime is 427260283. The reversal of 427260258 is 852062724.

427260258 is a `hidden beast` number, since 42 + 7 + 2 + 602 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (427260233) and next prime (427260283).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 390360 + ... + 391452.

It is an arithmetic number, because the mean of its divisors is an integer number (12707904).

Almost surely, 2^427260258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427260258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508316160).

427260258 is an abundant number, since it is smaller than the sum of its proper divisors (589372062).

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

427260258 is a wasteful number, since it uses less digits than its factorization.

427260258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 427260258 is about 20670.2747441828. The cubic root of 427260258 is about 753.1777805976.

The spelling of 427260258 in words is "four hundred twenty-seven million, two hundred sixty thousand, two hundred fifty-eight".