823241952 has 288 divisors, whose sum is σ = 2681392896. Its totient is φ = 237772800.

The previous prime is 823241941. The next prime is 823241957. The reversal of 823241952 is 259142328.

It is a happy number.

823241952 is a `hidden beast` number, since 8 + 232 + 419 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823241957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4758538 + ... + 4758710.

It is an arithmetic number, because the mean of its divisors is an integer number (9310392).

Almost surely, 2^823241952 is an apocalyptic number.

823241952 is a gapful number since it is divisible by the number (82) 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 823241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340696448).

823241952 is an abundant number, since it is smaller than the sum of its proper divisors (1858150944).

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

823241952 is a wasteful number, since it uses less digits than its factorization.

823241952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 823241952 is about 28692.1932239416. The cubic root of 823241952 is about 937.2220505085. Note that the first 3 decimals are identical.

The spelling of 823241952 in words is "eight hundred twenty-three million, two hundred forty-one thousand, nine hundred fifty-two".