420222024 has 96 divisors (see below), whose sum is σ = 1175611320. Its totient is φ = 135502848.

The previous prime is 420222007. The next prime is 420222053.

420222024 is a `hidden beast` number, since 420 + 2 + 220 + 24 = 666.

420222024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 419840100 + 381924 = 20490^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420221988 and 420222006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620374 + ... + 621050.

Almost surely, 2^420222024 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 420222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587805660).

420222024 is an abundant number, since it is smaller than the sum of its proper divisors (755389296).

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

420222024 is a wasteful number, since it uses less digits than its factorization.

420222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420222024 is about 20499.3176471804. The cubic root of 420222024 is about 749.0191765396.

The spelling of 420222024 in words is "four hundred twenty million, two hundred twenty-two thousand, twenty-four".