420007091 has 16 divisors (see below), whose sum is σ = 496784640. Its totient is φ = 347574240.

The previous prime is 420007079. The next prime is 420007099. The reversal of 420007091 is 190700024.

It is a cyclic number.

It is not a de Polignac number, because 420007091 - 2¹⁸ = 419744947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420007099) 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, 27740 + ... + 40118.

It is an arithmetic number, because the mean of its divisors is an integer number (31049040).

Almost surely, 2^420007091 is an apocalyptic number.

420007091 is a deficient number, since it is larger than the sum of its proper divisors (76777549).

420007091 is a wasteful number, since it uses less digits than its factorization.

420007091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 420007091 is about 20494.0745338744. The cubic root of 420007091 is about 748.8914532691.

The spelling of 420007091 in words is "four hundred twenty million, seven thousand, ninety-one".