423042624 has 63 divisors (see below), whose sum is σ = 1213991857. Its totient is φ = 140849664.

The previous prime is 423042593. The next prime is 423042649. The reversal of 423042624 is 426240324.

The square root of 423042624 is 20568.

It is a perfect power (a square), and thus also a powerful number.

423042624 is a `hidden beast` number, since 4 + 2 + 30 + 4 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 392040000 + 31002624 = 19800^2 + 5568^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 493204 + ... + 494060.

Almost surely, 2^423042624 is an apocalyptic number.

423042624 is the 20568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423042624

423042624 is an abundant number, since it is smaller than the sum of its proper divisors (790949233).

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

423042624 is an frugal number, since it uses more digits than its factorization.

423042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The cubic root of 423042624 is about 750.6912879655.

Multiplying 423042624 by its product of nonzero digits (9216), we get a square (3898760822784 = 1974528²).

Adding to 423042624 its reverse (426240324), we get a palindrome (849282948).

The spelling of 423042624 in words is "four hundred twenty-three million, forty-two thousand, six hundred twenty-four".