6454560 has 192 divisors, whose sum is σ = 24820992. Its totient is φ = 1376256.

The previous prime is 6454549. The next prime is 6454571. The reversal of 6454560 is 654546.

It is an interprime number because it is at equal distance from previous prime (6454549) and next prime (6454571).

It is a super-2 number, since 2×6454560² = 83322689587200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57064 + ... + 57176.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

Almost surely, 2^6454560 is an apocalyptic number.

6454560 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 6454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

6454560 is an abundant number, since it is smaller than the sum of its proper divisors (18366432).

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

6454560 is a wasteful number, since it uses less digits than its factorization.

6454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6454560 is about 2540.5826103475. The cubic root of 6454560 is about 186.1896550897.

The spelling of 6454560 in words is "six million, four hundred fifty-four thousand, five hundred sixty".