424790016 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 112852992.

The previous prime is 424789987. The next prime is 424790017. The reversal of 424790016 is 610097424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (424790017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117911 + ... + 5117993.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^424790016 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 424790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

424790016 is an abundant number, since it is smaller than the sum of its proper divisors (986903904).

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

424790016 is a wasteful number, since it uses less digits than its factorization.

424790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 424790016 is about 20610.4346387940. The cubic root of 424790016 is about 751.7234534662.

The spelling of 424790016 in words is "four hundred twenty-four million, seven hundred ninety thousand, sixteen".