420120153 has 48 divisors (see below), whose sum is σ = 675816960. Its totient is φ = 250387200.

The previous prime is 420120143. The next prime is 420120157. The reversal of 420120153 is 351021024.

It is not a de Polignac number, because 420120153 - 2⁴ = 420120137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420120157) 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, 216375 + ... + 218307.

It is an arithmetic number, because the mean of its divisors is an integer number (14079520).

Almost surely, 2^420120153 is an apocalyptic number.

It is an amenable number.

420120153 is a deficient number, since it is larger than the sum of its proper divisors (255696807).

420120153 is a wasteful number, since it uses less digits than its factorization.

420120153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 420120153 is about 20496.8327553308. The cubic root of 420120153 is about 748.9586454434.

Adding to 420120153 its reverse (351021024), we get a palindrome (771141177).

The spelling of 420120153 in words is "four hundred twenty million, one hundred twenty thousand, one hundred fifty-three".