420507021 has 8 divisors (see below), whose sum is σ = 611646624. Its totient is φ = 254852720.

The previous prime is 420507007. The next prime is 420507089. The reversal of 420507021 is 120705024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420507021 - 2⁷ = 420506893 is a prime.

It is a super-3 number, since 3×420507021³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420507421) 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 7 ways as a sum of consecutive naturals, for example, 6371286 + ... + 6371351.

It is an arithmetic number, because the mean of its divisors is an integer number (76455828).

Almost surely, 2^420507021 is an apocalyptic number.

It is an amenable number.

420507021 is a deficient number, since it is larger than the sum of its proper divisors (191139603).

420507021 is a wasteful number, since it uses less digits than its factorization.

420507021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742651.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 420507021 is about 20506.2678466853. The cubic root of 420507021 is about 749.1884679822.

The spelling of 420507021 in words is "four hundred twenty million, five hundred seven thousand, twenty-one".