8241480 has 128 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 2025216.

The previous prime is 8241479. The next prime is 8241487. The reversal of 8241480 is 841428.

It is a super-3 number, since 3×8241480³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8241487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13747 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

Almost surely, 2^8241480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

8241480 is an abundant number, since it is smaller than the sum of its proper divisors (21393720).

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

8241480 is a wasteful number, since it uses less digits than its factorization.

8241480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8241480 is about 2870.7977985222. The cubic root of 8241480 is about 201.9924187594.

It can be divided in two parts, 824 and 1480, that added together give a square (2304 = 48²).

The spelling of 8241480 in words is "eight million, two hundred forty-one thousand, four hundred eighty".