824305152 has 80 divisors (see below), whose sum is σ = 2395685952. Its totient is φ = 249784320.

The previous prime is 824305151. The next prime is 824305169. The reversal of 824305152 is 251503428.

It is a super-2 number, since 2×824305152² = 1358957967227486208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824305151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7498 + ... + 41289.

Almost surely, 2^824305152 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 824305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197842976).

824305152 is an abundant number, since it is smaller than the sum of its proper divisors (1571380800).

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

824305152 is a wasteful number, since it uses less digits than its factorization.

824305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48819 (or 48803 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 824305152 is about 28710.7149336271. The cubic root of 824305152 is about 937.6253445917.

The spelling of 824305152 in words is "eight hundred twenty-four million, three hundred five thousand, one hundred fifty-two".