6414480 has 120 divisors (see below), whose sum is σ = 22052160. Its totient is φ = 1670400.

The previous prime is 6414479. The next prime is 6414503. The reversal of 6414480 is 844146.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6414480² = 82291107340800, which contains 22 as substring.

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, 42405 + ... + 42555.

It is an arithmetic number, because the mean of its divisors is an integer number (183768).

Almost surely, 2^6414480 is an apocalyptic number.

6414480 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 6414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026080).

6414480 is an abundant number, since it is smaller than the sum of its proper divisors (15637680).

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

6414480 is a wasteful number, since it uses less digits than its factorization.

6414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6414480 is about 2532.6823725055. The cubic root of 6414480 is about 185.8034691408.

The spelling of 6414480 in words is "six million, four hundred fourteen thousand, four hundred eighty".