6473880 has 144 divisors (see below), whose sum is σ = 24541920. Its totient is φ = 1475712.

The previous prime is 6473867. The next prime is 6473881. The reversal of 6473880 is 883746.

6473880 is a `hidden beast` number, since 647 + 3 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×6473880² = 83822244508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6473881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17457 + ... + 17823.

It is an arithmetic number, because the mean of its divisors is an integer number (170430).

Almost surely, 2^6473880 is an apocalyptic number.

6473880 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 6473880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270960).

6473880 is an abundant number, since it is smaller than the sum of its proper divisors (18068040).

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

6473880 is a wasteful number, since it uses less digits than its factorization.

6473880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6473880 is about 2544.3820467846. The cubic root of 6473880 is about 186.3752397008.

The spelling of 6473880 in words is "six million, four hundred seventy-three thousand, eight hundred eighty".