480017760 has 48 divisors (see below), whose sum is σ = 1512057456. Its totient is φ = 128004608.

The previous prime is 480017753. The next prime is 480017777. The reversal of 480017760 is 67710084.

It is a tau number, because it is divible by the number of its divisors (48).

480017760 is a modest number, since divided by 17760 gives 480 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499539 + ... + 500498.

It is an arithmetic number, because the mean of its divisors is an integer number (31501197).

Almost surely, 2^480017760 is an apocalyptic number.

480017760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480017760 is an abundant number, since it is smaller than the sum of its proper divisors (1032039696).

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

480017760 is a wasteful number, since it uses less digits than its factorization.

480017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000055 (or 1000047 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 480017760 is about 21909.3076111501. The cubic root of 480017760 is about 782.9831847882.

The spelling of 480017760 in words is "four hundred eighty million, seventeen thousand, seven hundred sixty".