420642153 has 20 divisors (see below), whose sum is σ = 638675268. Its totient is φ = 275827680.

The previous prime is 420642139. The next prime is 420642163. The reversal of 420642153 is 351246024.

420642153 is a `hidden beast` number, since 4 + 2 + 0 + 642 + 15 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32867289 + 387774864 = 5733^2 + 19692^2 .

It is not a de Polignac number, because 420642153 - 2⁴ = 420642137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420642113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37626 + ... + 47507.

Almost surely, 2^420642153 is an apocalyptic number.

It is an amenable number.

420642153 is a deficient number, since it is larger than the sum of its proper divisors (218033115).

420642153 is an equidigital number, since it uses as much as digits as its factorization.

420642153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85206 (or 85197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420642153 is about 20509.5624770496. The cubic root of 420642153 is about 749.2687111873.

Adding to 420642153 its reverse (351246024), we get a palindrome (771888177).

The spelling of 420642153 in words is "four hundred twenty million, six hundred forty-two thousand, one hundred fifty-three".