485256960 has 288 divisors, whose sum is σ = 1815072000. Its totient is φ = 122425344.

The previous prime is 485256949. The next prime is 485256973. The reversal of 485256960 is 69652584.

485256960 is a `hidden beast` number, since 4 + 8 + 525 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 656271 + ... + 657009.

Almost surely, 2^485256960 is an apocalyptic number.

485256960 is a gapful number since it is divisible by the number (40) 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 485256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907536000).

485256960 is an abundant number, since it is smaller than the sum of its proper divisors (1329815040).

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

485256960 is a wasteful number, since it uses less digits than its factorization.

485256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 485256960 is about 22028.5487492935. The cubic root of 485256960 is about 785.8215316497.

The spelling of 485256960 in words is "four hundred eighty-five million, two hundred fifty-six thousand, nine hundred sixty".