813611484 has 108 divisors (see below), whose sum is σ = 2421665064. Its totient is φ = 229618368.

The previous prime is 813611479. The next prime is 813611489. The reversal of 813611484 is 484116318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (813611479) and next prime (813611489).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813611489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143634 + ... + 149190.

Almost surely, 2^813611484 is an apocalyptic number.

813611484 is a gapful number since it is divisible by the number (84) 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 813611484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210832532).

813611484 is an abundant number, since it is smaller than the sum of its proper divisors (1608053580).

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

813611484 is a wasteful number, since it uses less digits than its factorization.

813611484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5652 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 813611484 is about 28523.8756833639. The cubic root of 813611484 is about 933.5530954731.

The spelling of 813611484 in words is "eight hundred thirteen million, six hundred eleven thousand, four hundred eighty-four".