813454460 has 72 divisors (see below), whose sum is σ = 2114080416. Its totient is φ = 257437440.

The previous prime is 813454457. The next prime is 813454463. The reversal of 813454460 is 64454318.

813454460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813454457) and next prime (813454463).

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 813454460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813454463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6470 + ... + 40850.

It is an arithmetic number, because the mean of its divisors is an integer number (29362228).

Almost surely, 2^813454460 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 813454460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057040208).

813454460 is an abundant number, since it is smaller than the sum of its proper divisors (1300625956).

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

813454460 is a wasteful number, since it uses less digits than its factorization.

813454460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34423 (or 34408 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 813454460 is about 28521.1230494173. The cubic root of 813454460 is about 933.4930341803.

The spelling of 813454460 in words is "eight hundred thirteen million, four hundred fifty-four thousand, four hundred sixty".