824320476 has 240 divisors, whose sum is σ = 2595479040. Its totient is φ = 223171200.

The previous prime is 824320351. The next prime is 824320507. The reversal of 824320476 is 674023428.

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

It is a self number, because there is not a number n which added to its sum of digits gives 824320476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459001 + ... + 5459151.

It is an arithmetic number, because the mean of its divisors is an integer number (10814496).

Almost surely, 2^824320476 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 824320476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297739520).

824320476 is an abundant number, since it is smaller than the sum of its proper divisors (1771158564).

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

824320476 is a wasteful number, since it uses less digits than its factorization.

824320476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 824320476 is about 28710.9818013944. The cubic root of 824320476 is about 937.6311547708.

The spelling of 824320476 in words is "eight hundred twenty-four million, three hundred twenty thousand, four hundred seventy-six".