420265307 has 36 divisors (see below), whose sum is σ = 545286168. Its totient is φ = 322660800.

The previous prime is 420265301. The next prime is 420265309. The reversal of 420265307 is 703562024.

It is not a de Polignac number, because 420265307 - 2¹⁶ = 420199771 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420265307.

It is not an unprimeable number, because it can be changed into a prime (420265301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432332 + ... + 433302.

It is an arithmetic number, because the mean of its divisors is an integer number (15146838).

Almost surely, 2^420265307 is an apocalyptic number.

420265307 is a deficient number, since it is larger than the sum of its proper divisors (125020861).

420265307 is a wasteful number, since it uses less digits than its factorization.

420265307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 420265307 is about 20500.3733380639. The cubic root of 420265307 is about 749.0448920599.

The spelling of 420265307 in words is "four hundred twenty million, two hundred sixty-five thousand, three hundred seven".