813450960 has 180 divisors, whose sum is σ = 3177991908. Its totient is φ = 185923584.

The previous prime is 813450917. The next prime is 813450973. The reversal of 813450960 is 69054318.

It can be written as a sum of positive squares in 2 ways, for example, as 577152576 + 236298384 = 24024^2 + 15372^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23752 + ... + 46808.

Almost surely, 2^813450960 is an apocalyptic number.

813450960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588995954).

813450960 is an abundant number, since it is smaller than the sum of its proper divisors (2364540948).

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

813450960 is a wasteful number, since it uses less digits than its factorization.

813450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23090 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 813450960 is about 28521.0616913186. The cubic root of 813450960 is about 933.4916953509.

The spelling of 813450960 in words is "eight hundred thirteen million, four hundred fifty thousand, nine hundred sixty".