4556480 has 56 divisors (see below), whose sum is σ = 11247120. Its totient is φ = 1756160.

The previous prime is 4556477. The next prime is 4556491. The reversal of 4556480 is 846554.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9035 + ... + 9525.

Almost surely, 2^4556480 is an apocalyptic number.

4556480 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 4556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623560).

4556480 is an abundant number, since it is smaller than the sum of its proper divisors (6690640).

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

4556480 is a wasteful number, since it uses less digits than its factorization.

4556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

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

The square root of 4556480 is about 2134.5912957754. The cubic root of 4556480 is about 165.7842069466.

The spelling of 4556480 in words is "four million, five hundred fifty-six thousand, four hundred eighty".