1545648480 has 240 divisors, whose sum is σ = 5742863280. Its totient is φ = 390417408.

The previous prime is 1545648469. The next prime is 1545648497. The reversal of 1545648480 is 848465451.

It is a happy number.

1545648480 is a `hidden beast` number, since 1 + 5 + 4 + 564 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243102 + ... + 249378.

It is an arithmetic number, because the mean of its divisors is an integer number (23928597).

Almost surely, 2^1545648480 is an apocalyptic number.

1545648480 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 1545648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871431640).

1545648480 is an abundant number, since it is smaller than the sum of its proper divisors (4197214800).

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

1545648480 is a wasteful number, since it uses less digits than its factorization.

1545648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6306 counting only the distinct ones).

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

The square root of 1545648480 is about 39314.7361685157. The cubic root of 1545648480 is about 1156.2105035255.

It can be divided in two parts, 15456 and 48480, that added together give a palindrome (63936).

The spelling of 1545648480 in words is "one billion, five hundred forty-five million, six hundred forty-eight thousand, four hundred eighty".