820907460 has 144 divisors (see below), whose sum is σ = 2631859776. Its totient is φ = 214710912.

The previous prime is 820907447. The next prime is 820907537. The reversal of 820907460 is 64709028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255987 + ... + 259173.

It is an arithmetic number, because the mean of its divisors is an integer number (18276804).

Almost surely, 2^820907460 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 820907460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315929888).

820907460 is an abundant number, since it is smaller than the sum of its proper divisors (1810952316).

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

820907460 is a wasteful number, since it uses less digits than its factorization.

820907460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 820907460 is about 28651.4826841474. The cubic root of 820907460 is about 936.3353088600.

The spelling of 820907460 in words is "eight hundred twenty million, nine hundred seven thousand, four hundred sixty".