820465902 has 64 divisors (see below), whose sum is σ = 1903564800. Its totient is φ = 261645120.

The previous prime is 820465901. The next prime is 820465931. The reversal of 820465902 is 209564028.

It is a happy number.

820465902 is a `hidden beast` number, since 8 + 20 + 46 + 590 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820465901) 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, 146233 + ... + 151739.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 2^820465902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820465902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782400).

820465902 is an abundant number, since it is smaller than the sum of its proper divisors (1083098898).

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

820465902 is a wasteful number, since it uses less digits than its factorization.

820465902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 820465902 is about 28643.7759731499. The cubic root of 820465902 is about 936.1673969178.

The spelling of 820465902 in words is "eight hundred twenty million, four hundred sixty-five thousand, nine hundred two".