6413280 has 96 divisors (see below), whose sum is σ = 20901888. Its totient is φ = 1651200.

The previous prime is 6413273. The next prime is 6413287. The reversal of 6413280 is 823146.

It is a happy number.

6413280 is digitally balanced in base 4, because in such base 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 (6413273) and next prime (6413287).

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

It is a super-2 number, since 2×6413280² = 82260320716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6413280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413287) 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, 14665 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^6413280 is an apocalyptic number.

6413280 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 6413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

6413280 is an abundant number, since it is smaller than the sum of its proper divisors (14488608).

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

6413280 is a wasteful number, since it uses less digits than its factorization.

6413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6413280 is about 2532.4454584453. The cubic root of 6413280 is about 185.7918819159.

The spelling of 6413280 in words is "six million, four hundred thirteen thousand, two hundred eighty".