6417280 has 64 divisors (see below), whose sum is σ = 15814080. Its totient is φ = 2488320.

The previous prime is 6417263. The next prime is 6417287. The reversal of 6417280 is 827146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6417287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23545 + ... + 23815.

It is an arithmetic number, because the mean of its divisors is an integer number (247095).

Almost surely, 2^6417280 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 6417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907040).

6417280 is an abundant number, since it is smaller than the sum of its proper divisors (9396800).

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

6417280 is a wasteful number, since it uses less digits than its factorization.

6417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 6417280 is about 2533.2350858142. The cubic root of 6417280 is about 185.8305003802.

It can be divided in two parts, 641 and 7280, that added together give a square (7921 = 89²).

The spelling of 6417280 in words is "six million, four hundred seventeen thousand, two hundred eighty".