654480 has 100 divisors (see below), whose sum is σ = 2295612. Its totient is φ = 172800.

The previous prime is 654439. The next prime is 654491. The reversal of 654480 is 84456.

654480 is a `hidden beast` number, since 654 + 4 + 8 + 0 = 666.

654480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 809²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 186624 = 684^2 + 432^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 654480.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6430 + ... + 6530.

2⁶⁵⁴⁴⁸⁰ is an apocalyptic number.

654480 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 654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147806).

654480 is an abundant number, since it is smaller than the sum of its proper divisors (1641132).

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

654480 is a wasteful number, since it uses less digits than its factorization.

654480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

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

The square root of 654480 is about 808.9993819528. Note that the first 3 decimals coincide. The cubic root of 654480 is about 86.8224679391.

The spelling of 654480 in words is "six hundred fifty-four thousand, four hundred eighty".