6264480 has 96 divisors (see below), whose sum is σ = 20418048. Its totient is φ = 1612800.

The previous prime is 6264439. The next prime is 6264481. The reversal of 6264480 is 844626.

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 not an unprimeable number, because it can be changed into a prime (6264481) 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, 14670 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (212688).

Almost surely, 2^6264480 is an apocalyptic number.

6264480 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 6264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209024).

6264480 is an abundant number, since it is smaller than the sum of its proper divisors (14153568).

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

6264480 is a wasteful number, since it uses less digits than its factorization.

6264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6264480 is about 2502.8943245770. The cubic root of 6264480 is about 184.3437179524.

The spelling of 6264480 in words is "six million, two hundred sixty-four thousand, four hundred eighty".