820951460 has 24 divisors (see below), whose sum is σ = 1970283840. Its totient is φ = 281469024.

The previous prime is 820951457. The next prime is 820951477. The reversal of 820951460 is 64159028.

It is a super-2 number, since 2×820951460² = 1347922599352263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 820951460.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2931830 + ... + 2932109.

It is an arithmetic number, because the mean of its divisors is an integer number (82095160).

Almost surely, 2^820951460 is an apocalyptic number.

It is an amenable number.

820951460 is an abundant number, since it is smaller than the sum of its proper divisors (1149332380).

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

820951460 is a wasteful number, since it uses less digits than its factorization.

820951460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863955 (or 5863953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 820951460 is about 28652.2505224284. The cubic root of 820951460 is about 936.3520375087.

The spelling of 820951460 in words is "eight hundred twenty million, nine hundred fifty-one thousand, four hundred sixty".