424022976 has 168 divisors, whose sum is σ = 1386285264. Its totient is φ = 122757120.

The previous prime is 424022927. The next prime is 424023011. The reversal of 424022976 is 679220424.

424022976 is a `hidden beast` number, since 424 + 0 + 229 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 424022976.

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 23 ways as a sum of consecutive naturals, for example, 125631 + ... + 128961.

It is an arithmetic number, because the mean of its divisors is an integer number (8251698).

Almost surely, 2^424022976 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 424022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693142632).

424022976 is an abundant number, since it is smaller than the sum of its proper divisors (962262288).

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

424022976 is a wasteful number, since it uses less digits than its factorization.

424022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 424022976 is about 20591.8181810155. The cubic root of 424022976 is about 751.2707204767.

The spelling of 424022976 in words is "four hundred twenty-four million, twenty-two thousand, nine hundred seventy-six".