424640320 has 56 divisors (see below), whose sum is σ = 1088968104. Its totient is φ = 156788736.

The previous prime is 424640311. The next prime is 424640323. The reversal of 424640320 is 23046424.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 379158784 = 6744^2 + 19472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424640323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46879 + ... + 55198.

It is an arithmetic number, because the mean of its divisors is an integer number (19445859).

Almost surely, 2^424640320 is an apocalyptic number.

424640320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424640320 is an abundant number, since it is smaller than the sum of its proper divisors (664327784).

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

424640320 is a wasteful number, since it uses less digits than its factorization.

424640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102107 (or 102097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 424640320 is about 20606.8027602537. The cubic root of 424640320 is about 751.6351406442.

Adding to 424640320 its reverse (23046424), we get a palindrome (447686744).

The spelling of 424640320 in words is "four hundred twenty-four million, six hundred forty thousand, three hundred twenty".