424125 has 48 divisors (see below), whose sum is σ = 851760. Its totient is φ = 201600.

The previous prime is 424121. The next prime is 424129. The reversal of 424125 is 521424.

424125 = 115² + 116² + ... + 140².

It is an interprime number because it is at equal distance from previous prime (424121) and next prime (424129).

It can be written as a sum of positive squares in 8 ways, for example, as 213444 + 210681 = 462^2 + 459^2 .

It is not a de Polignac number, because 424125 - 2² = 424121 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 424098 and 424107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14611 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2⁴²⁴¹²⁵ is an apocalyptic number.

424125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

424125 is a wasteful number, since it uses less digits than its factorization.

424125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 424125 is about 651.2488003828. The cubic root of 424125 is about 75.1330969961.

Adding to 424125 its reverse (521424), we get a palindrome (945549).

The spelling of 424125 in words is "four hundred twenty-four thousand, one hundred twenty-five".