420507306 has 24 divisors (see below), whose sum is σ = 911610180. Its totient is φ = 140090496.

The previous prime is 420507301. The next prime is 420507313. The reversal of 420507306 is 603705024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 416527281 + 3980025 = 20409^2 + 1995^2 .

It is a super-3 number, since 3×420507306³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420507306.

It is not an unprimeable number, because it can be changed into a prime (420507301) 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 11 ways as a sum of consecutive naturals, for example, 32836 + ... + 43808.

Almost surely, 2^420507306 is an apocalyptic number.

420507306 is an abundant number, since it is smaller than the sum of its proper divisors (491102874).

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

420507306 is a wasteful number, since it uses less digits than its factorization.

420507306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 420507306 is about 20506.2747957790. The cubic root of 420507306 is about 749.1886372371.

The spelling of 420507306 in words is "four hundred twenty million, five hundred seven thousand, three hundred six".