6258480 has 80 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 1644544.

The previous prime is 6258463. The next prime is 6258481. The reversal of 6258480 is 848526.

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

It is not an unprimeable number, because it can be changed into a prime (6258481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21214 + ... + 21506.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^6258480 is an apocalyptic number.

6258480 is a gapful number since it is divisible by the number (60) 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 6258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

6258480 is an abundant number, since it is smaller than the sum of its proper divisors (13427760).

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

6258480 is a wasteful number, since it uses less digits than its factorization.

6258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6258480 is about 2501.6954251067. The cubic root of 6258480 is about 184.2848455151.

The spelling of 6258480 in words is "six million, two hundred fifty-eight thousand, four hundred eighty".