424282500 has 180 divisors, whose sum is σ = 1360298940. Its totient is φ = 111456000.

The previous prime is 424282493. The next prime is 424282501. The reversal of 424282500 is 5282424.

It is a happy number.

424282500 is a `hidden beast` number, since 42 + 42 + 82 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 187799616 + 236482884 = 13704^2 + 15378^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (424282501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2452414 + ... + 2452586.

Almost surely, 2^424282500 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 424282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680149470).

424282500 is an abundant number, since it is smaller than the sum of its proper divisors (936016440).

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

424282500 is a wasteful number, since it uses less digits than its factorization.

424282500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 424282500 is about 20598.1188461471. The cubic root of 424282500 is about 751.4239614009.

The spelling of 424282500 in words is "four hundred twenty-four million, two hundred eighty-two thousand, five hundred".