420212024 has 32 divisors (see below), whose sum is σ = 823508640. Its totient is φ = 200640000.

The previous prime is 420212021. The next prime is 420212027.

It is a happy number.

420212024 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (420212021) and next prime (420212027).

It is a super-2 number, since 2×420212024² = 353156290228353152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420211993 and 420212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420212021) 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, 138524 + ... + 141524.

It is an arithmetic number, because the mean of its divisors is an integer number (25734645).

Almost surely, 2^420212024 is an apocalyptic number.

It is an amenable number.

420212024 is a deficient number, since it is larger than the sum of its proper divisors (403296616).

420212024 is a wasteful number, since it uses less digits than its factorization.

420212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 420212024 is about 20499.0737351715. The cubic root of 420212024 is about 749.0132350367.

The spelling of 420212024 in words is "four hundred twenty million, two hundred twelve thousand, twenty-four".