1654548480 has 288 divisors, whose sum is σ = 6179944680. Its totient is φ = 406978560.

The previous prime is 1654548479. The next prime is 1654548503. The reversal of 1654548480 is 848454561.

It is a happy number.

1654548480 is a `hidden beast` number, since 1 + 65 + 4 + 548 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997549056 + 656999424 = 31584^2 + 25632^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197390 + ... + 1198770.

Almost surely, 2^1654548480 is an apocalyptic number.

1654548480 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 1654548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089972340).

1654548480 is an abundant number, since it is smaller than the sum of its proper divisors (4525396200).

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

1654548480 is a wasteful number, since it uses less digits than its factorization.

1654548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1654548480 is about 40676.1414099224. The cubic root of 1654548480 is about 1182.7505690081.

It can be divided in two parts, 16545 and 48480, that added together give a square (65025 = 255²).

The spelling of 1654548480 in words is "one billion, six hundred fifty-four million, five hundred forty-eight thousand, four hundred eighty".