4455680 has 54 divisors (see below), whose sum is σ = 10856706. Its totient is φ = 1752064.

The previous prime is 4455667. The next prime is 4455691. The reversal of 4455680 is 865544.

It can be written as a sum of positive squares in only one way, i.e., 3564544 + 891136 = 1888^2 + 944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75491 + ... + 75549.

Almost surely, 2^4455680 is an apocalyptic number.

4455680 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 4455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428353).

4455680 is an abundant number, since it is smaller than the sum of its proper divisors (6401026).

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

4455680 is an frugal number, since it uses more digits than its factorization.

4455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 4455680 is about 2110.8481707598. The cubic root of 4455680 is about 164.5525680179.

The spelling of 4455680 in words is "four million, four hundred fifty-five thousand, six hundred eighty".