424497960 has 96 divisors (see below), whose sum is σ = 1395225000. Its totient is φ = 111919104.

The previous prime is 424497919. The next prime is 424497961. The reversal of 424497960 is 69794424.

It can be written as a sum of positive squares in 4 ways, for example, as 225180036 + 199317924 = 15006^2 + 14118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (424497961) 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 23 ways as a sum of consecutive naturals, for example, 25416 + ... + 38664.

Almost surely, 2^424497960 is an apocalyptic number.

424497960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424497960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697612500).

424497960 is an abundant number, since it is smaller than the sum of its proper divisors (970727040).

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

424497960 is a wasteful number, since it uses less digits than its factorization.

424497960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 424497960 is about 20603.3482715795. The cubic root of 424497960 is about 751.5511364228.

The spelling of 424497960 in words is "four hundred twenty-four million, four hundred ninety-seven thousand, nine hundred sixty".