844572420 has 240 divisors, whose sum is σ = 2912595840. Its totient is φ = 203917824.

The previous prime is 844572413. The next prime is 844572431. The reversal of 844572420 is 24275448.

844572420 is a `hidden beast` number, since 8 + 44 + 572 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 707344 + ... + 708536.

It is an arithmetic number, because the mean of its divisors is an integer number (12135816).

Almost surely, 2^844572420 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 844572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456297920).

844572420 is an abundant number, since it is smaller than the sum of its proper divisors (2068023420).

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

844572420 is a wasteful number, since it uses less digits than its factorization.

844572420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 844572420 is about 29061.5281773000. The cubic root of 844572420 is about 945.2477052845.

The spelling of 844572420 in words is "eight hundred forty-four million, five hundred seventy-two thousand, four hundred twenty".