424140320 has 48 divisors (see below), whose sum is σ = 1018481688. Its totient is φ = 166871040.

The previous prime is 424140317. The next prime is 424140323. The reversal of 424140320 is 23041424.

It is an interprime number because it is at equal distance from previous prime (424140317) and next prime (424140323).

It can be written as a sum of positive squares in 4 ways, for example, as 239506576 + 184633744 = 15476^2 + 13588^2 .

It is a super-2 number, since 2×424140320² = 359790022099404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 424140292 and 424140301.

It is not an unprimeable number, because it can be changed into a prime (424140323) 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, 11969 + ... + 31488.

Almost surely, 2^424140320 is an apocalyptic number.

424140320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424140320 is an abundant number, since it is smaller than the sum of its proper divisors (594341368).

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

424140320 is a wasteful number, since it uses less digits than its factorization.

424140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43533 (or 43525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424140320 is about 20594.6672709223. The cubic root of 424140320 is about 751.3400162346.

Adding to 424140320 its reverse (23041424), we get a palindrome (447181744).

The spelling of 424140320 in words is "four hundred twenty-four million, one hundred forty thousand, three hundred twenty".