1470820224 has 128 divisors (see below), whose sum is σ = 4045466880. Its totient is φ = 473149440.

The previous prime is 1470820213. The next prime is 1470820243. The reversal of 1470820224 is 4220280741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1470820191 and 1470820200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621179 + ... + 1622085.

It is an arithmetic number, because the mean of its divisors is an integer number (31605210).

Almost surely, 2^1470820224 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 1470820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022733440).

1470820224 is an abundant number, since it is smaller than the sum of its proper divisors (2574646656).

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

1470820224 is a wasteful number, since it uses less digits than its factorization.

1470820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1470820224 is about 38351.2740857458. The cubic root of 1470820224 is about 1137.2428043715.

The spelling of 1470820224 in words is "one billion, four hundred seventy million, eight hundred twenty thousand, two hundred twenty-four".