4505760 has 192 divisors, whose sum is σ = 18144000. Its totient is φ = 1022976.

The previous prime is 4505741. The next prime is 4505773. The reversal of 4505760 is 675054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30166 + ... + 30314.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 2^4505760 is an apocalyptic number.

4505760 is a gapful number since it is divisible by the number (40) 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 4505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

4505760 is an abundant number, since it is smaller than the sum of its proper divisors (13638240).

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

4505760 is a wasteful number, since it uses less digits than its factorization.

4505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4505760 is about 2122.6775544109. The cubic root of 4505760 is about 165.1667735259.

The spelling of 4505760 in words is "four million, five hundred five thousand, seven hundred sixty".