823572480 has 384 divisors, whose sum is σ = 2971987200. Its totient is φ = 193462272.

The previous prime is 823572469. The next prime is 823572481. The reversal of 823572480 is 84275328.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823572481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9922519 + ... + 9922601.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^823572480 is an apocalyptic number.

823572480 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 823572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

823572480 is an abundant number, since it is smaller than the sum of its proper divisors (2148414720).

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

823572480 is a wasteful number, since it uses less digits than its factorization.

823572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 823572480 is about 28697.9525402075. The cubic root of 823572480 is about 937.3474638940.

The spelling of 823572480 in words is "eight hundred twenty-three million, five hundred seventy-two thousand, four hundred eighty".