817421472 has 432 divisors, whose sum is σ = 2993058432. Its totient is φ = 206807040.

The previous prime is 817421467. The next prime is 817421497. The reversal of 817421472 is 274124718.

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

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 13400322 + ... + 13400382.

It is an arithmetic number, because the mean of its divisors is an integer number (6928376).

Almost surely, 2^817421472 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 817421472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496529216).

817421472 is an abundant number, since it is smaller than the sum of its proper divisors (2175636960).

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

817421472 is a wasteful number, since it uses less digits than its factorization.

817421472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 817421472 is about 28590.5836246831. The cubic root of 817421472 is about 935.0080440079.

It can be divided in two parts, 8174 and 21472, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 817421472 in words is "eight hundred seventeen million, four hundred twenty-one thousand, four hundred seventy-two".