4526480 has 80 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 1514496.

The previous prime is 4526479. The next prime is 4526507. The reversal of 4526480 is 846254.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32972 + ... + 33108.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^4526480 is an apocalyptic number.

4526480 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 4526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

4526480 is an abundant number, since it is smaller than the sum of its proper divisors (7794160).

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

4526480 is a wasteful number, since it uses less digits than its factorization.

4526480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4526480 is about 2127.5525845440. The cubic root of 4526480 is about 165.4195627774.

The spelling of 4526480 in words is "four million, five hundred twenty-six thousand, four hundred eighty".