822401520 has 240 divisors, whose sum is σ = 2762823168. Its totient is φ = 202280960.

The previous prime is 822401513. The next prime is 822401521. The reversal of 822401520 is 25104228.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822401521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4924477 + ... + 4924643.

Almost surely, 2^822401520 is an apocalyptic number.

822401520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381411584).

822401520 is an abundant number, since it is smaller than the sum of its proper divisors (1940421648).

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

822401520 is a wasteful number, since it uses less digits than its factorization.

822401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 822401520 is about 28677.5438278804. The cubic root of 822401520 is about 936.9030112143.

Adding to 822401520 its reverse (25104228), we get a palindrome (847505748).

The spelling of 822401520 in words is "eight hundred twenty-two million, four hundred one thousand, five hundred twenty".