420042501 has 12 divisors (see below), whose sum is σ = 606935628. Its totient is φ = 279932544.

The previous prime is 420042479. The next prime is 420042521. The reversal of 420042501 is 105240024.

It can be written as a sum of positive squares in 2 ways, for example, as 308845476 + 111197025 = 17574^2 + 10545^2 .

It is not a de Polignac number, because 420042501 - 2⁹ = 420041989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420042521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28621 + ... + 40733.

It is an arithmetic number, because the mean of its divisors is an integer number (50577969).

Almost surely, 2^420042501 is an apocalyptic number.

It is an amenable number.

420042501 is a deficient number, since it is larger than the sum of its proper divisors (186893127).

420042501 is a wasteful number, since it uses less digits than its factorization.

420042501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420042501 is about 20494.9384239134. The cubic root of 420042501 is about 748.9124985496.

Adding to 420042501 its reverse (105240024), we get a palindrome (525282525).

The spelling of 420042501 in words is "four hundred twenty million, forty-two thousand, five hundred one".