424254100 has 72 divisors (see below), whose sum is σ = 945173880. Its totient is φ = 165242880.

The previous prime is 424254049. The next prime is 424254119. The reversal of 424254100 is 1452424.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 221533456 + 202720644 = 14884^2 + 14238^2 .

It is a congruent number.

It is an unprimeable number.

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, 649374 + ... + 650026.

It is an arithmetic number, because the mean of its divisors is an integer number (13127415).

Almost surely, 2^424254100 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 424254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472586940).

424254100 is an abundant number, since it is smaller than the sum of its proper divisors (520919780).

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

424254100 is a wasteful number, since it uses less digits than its factorization.

424254100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 424254100 is about 20597.4294512689. The cubic root of 424254100 is about 751.4071951216.

The spelling of 424254100 in words is "four hundred twenty-four million, two hundred fifty-four thousand, one hundred".