420707024 has 40 divisors (see below), whose sum is σ = 869730048. Its totient is φ = 196451840.

The previous prime is 420707017. The next prime is 420707029.

420707024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420706984 and 420707002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420707029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29729 + ... + 41535.

Almost surely, 2^420707024 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 420707024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434865024).

420707024 is an abundant number, since it is smaller than the sum of its proper divisors (449023024).

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

420707024 is a wasteful number, since it uses less digits than its factorization.

420707024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 420707024 is about 20511.1438978912. The cubic root of 420707024 is about 749.3072263573.

It can be divided in two parts, 42070 and 7024, that added together give a palindrome (49094).

The spelling of 420707024 in words is "four hundred twenty million, seven hundred seven thousand, twenty-four".