5414880 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1390592.

The previous prime is 5414879. The next prime is 5414881. The reversal of 5414880 is 884145.

5414880 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5414879) and next prime (5414881).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414881) 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, 13726 + ... + 14114.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^5414880 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 5414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5414880 is an abundant number, since it is smaller than the sum of its proper divisors (12275520).

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

5414880 is a wasteful number, since it uses less digits than its factorization.

5414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 5414880 is about 2326.9894713986. The cubic root of 5414880 is about 175.6020623699.

The spelling of 5414880 in words is "five million, four hundred fourteen thousand, eight hundred eighty".