420314304 has 56 divisors (see below), whose sum is σ = 1115253040. Its totient is φ = 139705344.

The previous prime is 420314303. The next prime is 420314317. The reversal of 420314304 is 403413024.

It is a super-2 number, since 2×420314304² = 353328228294008832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420314303) 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, 68682 + ... + 74550.

Almost surely, 2^420314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557626520).

420314304 is an abundant number, since it is smaller than the sum of its proper divisors (694938736).

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

420314304 is a wasteful number, since it uses less digits than its factorization.

420314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 420314304 is about 20501.5683302522. The cubic root of 420314304 is about 749.0740002810.

Adding to 420314304 its reverse (403413024), we get a palindrome (823727328).

The spelling of 420314304 in words is "four hundred twenty million, three hundred fourteen thousand, three hundred four".