424080384 has 352 divisors, whose sum is σ = 1463621376. Its totient is φ = 106168320.

The previous prime is 424080367. The next prime is 424080407. The reversal of 424080384 is 483080424.

It is a congruent number.

It is an unprimeable number.

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, 10343404 + ... + 10343444.

Almost surely, 2^424080384 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 424080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731810688).

424080384 is an abundant number, since it is smaller than the sum of its proper divisors (1039540992).

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

424080384 is a wasteful number, since it uses less digits than its factorization.

424080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 424080384 is about 20593.2120855393. The cubic root of 424080384 is about 751.3046235163.

The spelling of 424080384 in words is "four hundred twenty-four million, eighty thousand, three hundred eighty-four".