5406480 has 80 divisors (see below), whose sum is σ = 18629760. Its totient is φ = 1441152.

The previous prime is 5406463. The next prime is 5406481. The reversal of 5406480 is 846045.

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

It is a super-3 number, since 3×5406480³ (a number of 21 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 (5406481) 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 15 ways as a sum of consecutive naturals, for example, 909 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (232872).

Almost surely, 2^5406480 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 5406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314880).

5406480 is an abundant number, since it is smaller than the sum of its proper divisors (13223280).

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

5406480 is a wasteful number, since it uses less digits than its factorization.

5406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5406480 is about 2325.1838636977. The cubic root of 5406480 is about 175.5112126666.

It can be divided in two parts, 5406 and 480, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5406480 in words is "five million, four hundred six thousand, four hundred eighty".