6461280 has 144 divisors (see below), whose sum is σ = 25238304. Its totient is φ = 1474560.

The previous prime is 6461269. The next prime is 6461317. The reversal of 6461280 is 821646.

6461280 is a `hidden beast` number, since 646 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9760 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (175266).

Almost surely, 2^6461280 is an apocalyptic number.

6461280 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 6461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619152).

6461280 is an abundant number, since it is smaller than the sum of its proper divisors (18777024).

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

6461280 is a wasteful number, since it uses less digits than its factorization.

6461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6461280 is about 2541.9047975878. The cubic root of 6461280 is about 186.2542482102.

The spelling of 6461280 in words is "six million, four hundred sixty-one thousand, two hundred eighty".