1722318480 has 120 divisors (see below), whose sum is σ = 5794988472. Its totient is φ = 458422272.

The previous prime is 1722318463. The next prime is 1722318487. The reversal of 1722318480 is 848132271.

1722318480 is a `hidden beast` number, since 172 + 2 + 3 + 1 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 1700077824 = 4716^2 + 41232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1722318487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442302 + ... + 446178.

Almost surely, 2^1722318480 is an apocalyptic number.

1722318480 is a gapful number since it is divisible by the number (10) 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 1722318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897494236).

1722318480 is an abundant number, since it is smaller than the sum of its proper divisors (4072669992).

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

1722318480 is a wasteful number, since it uses less digits than its factorization.

1722318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1722318480 is about 41500.8250520396. The cubic root of 1722318480 is about 1198.6833893085.

The spelling of 1722318480 in words is "one billion, seven hundred twenty-two million, three hundred eighteen thousand, four hundred eighty".