820467450 has 144 divisors (see below), whose sum is σ = 2434906656. Its totient is φ = 196406400.

The previous prime is 820467407. The next prime is 820467451. The reversal of 820467450 is 54764028.

It is a super-3 number, since 3×820467450³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (820467451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 409852 + ... + 411848.

It is an arithmetic number, because the mean of its divisors is an integer number (16909074).

Almost surely, 2^820467450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820467450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217453328).

820467450 is an abundant number, since it is smaller than the sum of its proper divisors (1614439206).

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

820467450 is a wasteful number, since it uses less digits than its factorization.

820467450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 820467450 is about 28643.8029947142. The cubic root of 820467450 is about 936.1679856834.

The spelling of 820467450 in words is "eight hundred twenty million, four hundred sixty-seven thousand, four hundred fifty".