4456880 has 20 divisors (see below), whose sum is σ = 10362432. Its totient is φ = 1782720.

The previous prime is 4456877. The next prime is 4456889. The reversal of 4456880 is 886544.

4456880 = T₂₉₃ + T₂₉₄ + ... + T₃₇₂.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4456880.

It is not an unprimeable number, because it can be changed into a prime (4456889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27776 + ... + 27935.

Almost surely, 2^4456880 is an apocalyptic number.

4456880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4456880 is an abundant number, since it is smaller than the sum of its proper divisors (5905552).

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

4456880 is a wasteful number, since it uses less digits than its factorization.

4456880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55724 (or 55718 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 4456880 is about 2111.1323975535. The cubic root of 4456880 is about 164.5673390785.

The spelling of 4456880 in words is "four million, four hundred fifty-six thousand, eight hundred eighty".