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485544960 = 21032541257
BaseRepresentation
bin11100111100001…
…101010000000000
31020211122020110200
4130330031100000
51443244414320
6120102525200
715014030655
oct3474152000
91224566420
10485544960
1122a09412a
12116736800
1379793814
14486b1c2c
152c960290
hex1cf0d400

485544960 has 264 divisors, whose sum is σ = 1730140776. Its totient is φ = 125829120.

The previous prime is 485544887. The next prime is 485544979. The reversal of 485544960 is 69445584.

485544960 is a `hidden beast` number, since 4 + 8 + 554 + 4 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 422055936 = 7968^2 + 20544^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889152 + ... + 1889408.

Almost surely, 2485544960 is an apocalyptic number.

485544960 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 485544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865070388).

485544960 is an abundant number, since it is smaller than the sum of its proper divisors (1244595816).

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

485544960 is a wasteful number, since it uses less digits than its factorization.

485544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 485544960 is about 22035.0847513687. The cubic root of 485544960 is about 785.9769625942.

The spelling of 485544960 in words is "four hundred eighty-five million, five hundred forty-four thousand, nine hundred sixty".