5461280 has 96 divisors (see below), whose sum is σ = 14696640. Its totient is φ = 1899520.

The previous prime is 5461277. The next prime is 5461283. The reversal of 5461280 is 821645.

5461280 = T₁ + T₂ + ... + T₃₁₉.

5461280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

5461280 is a nontrivial binomial coefficient, being equal to C(321, 3).

It is an interprime number because it is at equal distance from previous prime (5461277) and next prime (5461283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461283) by changing a digit.

It is the 319-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50987 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^5461280 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 5461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348320).

5461280 is an abundant number, since it is smaller than the sum of its proper divisors (9235360).

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

5461280 is a wasteful number, since it uses less digits than its factorization.

5461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5461280 is about 2336.9381677742. The cubic root of 5461280 is about 176.1022133546.

The spelling of 5461280 in words is "five million, four hundred sixty-one thousand, two hundred eighty".