820449324 has 90 divisors (see below), whose sum is σ = 2222063844. Its totient is φ = 263964960.

The previous prime is 820449323. The next prime is 820449367. The reversal of 820449324 is 423944028.

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

It is not an unprimeable number, because it can be changed into a prime (820449323) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 270979 + ... + 273989.

Almost surely, 2^820449324 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 820449324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111031922).

820449324 is an abundant number, since it is smaller than the sum of its proper divisors (1401614520).

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

820449324 is a wasteful number, since it uses less digits than its factorization.

820449324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 820449324 is about 28643.4865894500. The cubic root of 820449324 is about 936.1610916029.

The spelling of 820449324 in words is "eight hundred twenty million, four hundred forty-nine thousand, three hundred twenty-four".