6454080 has 168 divisors, whose sum is σ = 23298912. Its totient is φ = 1700352.

The previous prime is 6454079. The next prime is 6454093. The reversal of 6454080 is 804546.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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, 77719 + ... + 77801.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^6454080 is an apocalyptic number.

6454080 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 6454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

6454080 is an abundant number, since it is smaller than the sum of its proper divisors (16844832).

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

6454080 is an equidigital number, since it uses as much as digits as its factorization.

6454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6454080 is about 2540.4881420703. The cubic root of 6454080 is about 186.1850395801.

It can be divided in two parts, 64540 and 80, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 6454080 in words is "six million, four hundred fifty-four thousand, eighty".