427414260 has 288 divisors, whose sum is σ = 1534764672. Its totient is φ = 88058880.

The previous prime is 427414243. The next prime is 427414307. The reversal of 427414260 is 62414724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2025555 + ... + 2025765.

It is an arithmetic number, because the mean of its divisors is an integer number (5329044).

Almost surely, 2^427414260 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 427414260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767382336).

427414260 is an abundant number, since it is smaller than the sum of its proper divisors (1107350412).

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

427414260 is a wasteful number, since it uses less digits than its factorization.

427414260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 427414260 is about 20673.9996130405. Note that the first 3 decimals coincide. The cubic root of 427414260 is about 753.2682617109.

Adding to 427414260 its reverse (62414724), we get a palindrome (489828984).

The spelling of 427414260 in words is "four hundred twenty-seven million, four hundred fourteen thousand, two hundred sixty".