420626024 has 64 divisors (see below), whose sum is σ = 1012919040. Its totient is φ = 159160320.

The previous prime is 420626021. The next prime is 420626029.

420626024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 420625984 and 420626002.

It is not an unprimeable number, because it can be changed into a prime (420626021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4184 + ... + 29304.

It is an arithmetic number, because the mean of its divisors is an integer number (15826860).

Almost surely, 2^420626024 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 420626024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506459520).

420626024 is an abundant number, since it is smaller than the sum of its proper divisors (592293016).

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

420626024 is a wasteful number, since it uses less digits than its factorization.

420626024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25170 (or 25166 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 420626024 is about 20509.1692664525. The cubic root of 420626024 is about 749.2591344727.

The spelling of 420626024 in words is "four hundred twenty million, six hundred twenty-six thousand, twenty-four".