8874480 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2337024.

The previous prime is 8874461. The next prime is 8874497. The reversal of 8874480 is 844788.

8874480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24541 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^8874480 is an apocalyptic number.

8874480 is a gapful number since it is divisible by the number (80) 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 8874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

8874480 is an abundant number, since it is smaller than the sum of its proper divisors (18980880).

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

8874480 is a wasteful number, since it uses less digits than its factorization.

8874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 8874480 is about 2979.0065458136. The cubic root of 8874480 is about 207.0368437767.

Subtracting from 8874480 its sum of digits (39), we obtain a square (8874441 = 2979²).

The spelling of 8874480 in words is "eight million, eight hundred seventy-four thousand, four hundred eighty".