823413504 has 72 divisors (see below), whose sum is σ = 2205762160. Its totient is φ = 272683008.

The previous prime is 823413497. The next prime is 823413533. The reversal of 823413504 is 405314328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117162 + ... + 123990.

Almost surely, 2^823413504 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 823413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102881080).

823413504 is an abundant number, since it is smaller than the sum of its proper divisors (1382348656).

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

823413504 is a wasteful number, since it uses less digits than its factorization.

823413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 823413504 is about 28695.1825922053. The cubic root of 823413504 is about 937.2871472681.

The spelling of 823413504 in words is "eight hundred twenty-three million, four hundred thirteen thousand, five hundred four".