654420480 has 480 divisors, whose sum is σ = 2552622336. Its totient is φ = 142442496.

The previous prime is 654420469. The next prime is 654420493. The reversal of 654420480 is 84024456.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13923817 + ... + 13923863.

Almost surely, 2^654420480 is an apocalyptic number.

654420480 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 654420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276311168).

654420480 is an abundant number, since it is smaller than the sum of its proper divisors (1898201856).

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

654420480 is a wasteful number, since it uses less digits than its factorization.

654420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 654420480 is about 25581.6434186703. The cubic root of 654420480 is about 868.1983591065.

The spelling of 654420480 in words is "six hundred fifty-four million, four hundred twenty thousand, four hundred eighty".