420102705 has 48 divisors (see below), whose sum is σ = 766696896. Its totient is φ = 194789760.

The previous prime is 420102703. The next prime is 420102743. The reversal of 420102705 is 507201024.

It is not a de Polignac number, because 420102705 - 2¹ = 420102703 is a prime.

It is a super-3 number, since 3×420102705³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420102703) 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, 84879 + ... + 89691.

It is an arithmetic number, because the mean of its divisors is an integer number (15972852).

Almost surely, 2^420102705 is an apocalyptic number.

It is an amenable number.

420102705 is a deficient number, since it is larger than the sum of its proper divisors (346594191).

420102705 is a wasteful number, since it uses less digits than its factorization.

420102705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 420102705 is about 20496.4071241767. The cubic root of 420102705 is about 748.9482769721.

Adding to 420102705 its reverse (507201024), we get a palindrome (927303729).

The spelling of 420102705 in words is "four hundred twenty million, one hundred two thousand, seven hundred five".