824429144 has 144 divisors (see below), whose sum is σ = 2067681840. Its totient is φ = 301593600.

The previous prime is 824429119. The next prime is 824429149. The reversal of 824429144 is 441924428.

It is a junction number, because it is equal to n+sod(n) for n = 824429098 and 824429107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824429149) 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 35 ways as a sum of consecutive naturals, for example, 1958054 + ... + 1958474.

Almost surely, 2^824429144 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 824429144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033840920).

824429144 is an abundant number, since it is smaller than the sum of its proper divisors (1243252696).

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

824429144 is a wasteful number, since it uses less digits than its factorization.

824429144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 458 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 824429144 is about 28712.8741856332. The cubic root of 824429144 is about 937.6723547767.

The spelling of 824429144 in words is "eight hundred twenty-four million, four hundred twenty-nine thousand, one hundred forty-four".