485472960 has 448 divisors, whose sum is σ = 2048256000. Its totient is φ = 105836544.

The previous prime is 485472943. The next prime is 485472991. The reversal of 485472960 is 69274584.

It is a happy number.

485472960 is a `hidden beast` number, since 48 + 547 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390866 + ... + 1391214.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^485472960 is an apocalyptic number.

485472960 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 485472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128000).

485472960 is an abundant number, since it is smaller than the sum of its proper divisors (1562783040).

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

485472960 is a wasteful number, since it uses less digits than its factorization.

485472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 485472960 is about 22033.4509326161. The cubic root of 485472960 is about 785.9381106214.

The spelling of 485472960 in words is "four hundred eighty-five million, four hundred seventy-two thousand, nine hundred sixty".