424022256 has 160 divisors (see below), whose sum is σ = 1398720000. Its totient is φ = 120476160.

The previous prime is 424022251. The next prime is 424022267. The reversal of 424022256 is 652220424.

It is a happy number.

424022256 is a `hidden beast` number, since 4 + 2 + 402 + 2 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424022251) 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, 849495 + ... + 849993.

It is an arithmetic number, because the mean of its divisors is an integer number (8742000).

Almost surely, 2^424022256 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 424022256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699360000).

424022256 is an abundant number, since it is smaller than the sum of its proper divisors (974697744).

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

424022256 is a wasteful number, since it uses less digits than its factorization.

424022256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424022256 is about 20591.8006983362. The cubic root of 424022256 is about 751.2702952519.

The spelling of 424022256 in words is "four hundred twenty-four million, twenty-two thousand, two hundred fifty-six".