424964640 has 192 divisors, whose sum is σ = 1492525440. Its totient is φ = 101007360.

The previous prime is 424964627. The next prime is 424964641. The reversal of 424964640 is 46469424.

It is not an unprimeable number, because it can be changed into a prime (424964641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153670 + ... + 156410.

It is an arithmetic number, because the mean of its divisors is an integer number (7773570).

Almost surely, 2^424964640 is an apocalyptic number.

424964640 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 424964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746262720).

424964640 is an abundant number, since it is smaller than the sum of its proper divisors (1067560800).

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

424964640 is a wasteful number, since it uses less digits than its factorization.

424964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 424964640 is about 20614.6705042792. The cubic root of 424964640 is about 751.8264462925.

The spelling of 424964640 in words is "four hundred twenty-four million, nine hundred sixty-four thousand, six hundred forty".