4466880 has 224 divisors, whose sum is σ = 17556480. Its totient is φ = 1059840.

The previous prime is 4466879. The next prime is 4466911. The reversal of 4466880 is 886644.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 95017 + ... + 95063.

Almost surely, 2^4466880 is an apocalyptic number.

4466880 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 4466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

4466880 is an abundant number, since it is smaller than the sum of its proper divisors (13089600).

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

4466880 is a wasteful number, since it uses less digits than its factorization.

4466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4466880 is about 2113.4994677075. The cubic root of 4466880 is about 164.6903282631.

The spelling of 4466880 in words is "four million, four hundred sixty-six thousand, eight hundred eighty".