818072448 has 64 divisors (see below), whose sum is σ = 2176761600. Its totient is φ = 272219648.

The previous prime is 818072447. The next prime is 818072449. The reversal of 818072448 is 844270818.

It is an interprime number because it is at equal distance from previous prime (818072447) and next prime (818072449).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818072443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274615 + ... + 277577.

It is an arithmetic number, because the mean of its divisors is an integer number (34011900).

Almost surely, 2^818072448 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 818072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088380800).

818072448 is an abundant number, since it is smaller than the sum of its proper divisors (1358689152).

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

818072448 is a wasteful number, since it uses less digits than its factorization.

818072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 818072448 is about 28601.9658065665. The cubic root of 818072448 is about 935.2561845785.

It can be divided in two parts, 81807 and 2448, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 818072448 in words is "eight hundred eighteen million, seventy-two thousand, four hundred forty-eight".