817470144 has 140 divisors (see below), whose sum is σ = 2458474128. Its totient is φ = 268531200.

The previous prime is 817470127. The next prime is 817470169. The reversal of 817470144 is 441074718.

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

It is a junction number, because it is equal to n+sod(n) for n = 817470099 and 817470108.

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 19 ways as a sum of consecutive naturals, for example, 366954 + ... + 369174.

Almost surely, 2^817470144 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 817470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229237064).

817470144 is an abundant number, since it is smaller than the sum of its proper divisors (1641003984).

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

817470144 is a wasteful number, since it uses less digits than its factorization.

817470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2297 counting only the distinct ones).

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

The square root of 817470144 is about 28591.4348013527. The cubic root of 817470144 is about 935.0266014718.

The spelling of 817470144 in words is "eight hundred seventeen million, four hundred seventy thousand, one hundred forty-four".