424096416 has 288 divisors, whose sum is σ = 1386927360. Its totient is φ = 122093568.

The previous prime is 424096391. The next prime is 424096417. The reversal of 424096416 is 614690424.

424096416 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (424096417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372080 + ... + 4372176.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^424096416 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 424096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

424096416 is an abundant number, since it is smaller than the sum of its proper divisors (962830944).

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

424096416 is a wasteful number, since it uses less digits than its factorization.

424096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 424096416 is about 20593.6013363375. The cubic root of 424096416 is about 751.3140908755.

The spelling of 424096416 in words is "four hundred twenty-four million, ninety-six thousand, four hundred sixteen".