4461480 has 144 divisors (see below), whose sum is σ = 15942420. Its totient is φ = 1119744.

The previous prime is 4461461. The next prime is 4461491. The reversal of 4461480 is 841644.

4461480 is a `hidden beast` number, since 44 + 614 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 26244 = 2106^2 + 162^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262432 + ... + 262448.

Almost surely, 2^4461480 is an apocalyptic number.

4461480 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 4461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971210).

4461480 is an abundant number, since it is smaller than the sum of its proper divisors (11480940).

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

4461480 is an equidigital number, since it uses as much as digits as its factorization.

4461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4461480 is about 2112.2215792857. The cubic root of 4461480 is about 164.6239369279.

The spelling of 4461480 in words is "four million, four hundred sixty-one thousand, four hundred eighty".