1644468480 has 432 divisors, whose sum is σ = 6267590784. Its totient is φ = 411402240.

The previous prime is 1644468457. The next prime is 1644468533. The reversal of 1644468480 is 848644461.

1644468480 is a `hidden beast` number, since 164 + 4 + 4 + 6 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287525 + ... + 5287835.

It is an arithmetic number, because the mean of its divisors is an integer number (14508312).

Almost surely, 2^1644468480 is an apocalyptic number.

1644468480 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 1644468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133795392).

1644468480 is an abundant number, since it is smaller than the sum of its proper divisors (4623122304).

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

1644468480 is an equidigital number, since it uses as much as digits as its factorization.

1644468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 1644468480 is about 40552.0465574797. The cubic root of 1644468480 is about 1180.3437856870.

It can be divided in two parts, 164 and 4468480, that added together give a palindrome (4468644).

The spelling of 1644468480 in words is "one billion, six hundred forty-four million, four hundred sixty-eight thousand, four hundred eighty".