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485418960 = 243351359293
BaseRepresentation
bin11100111011101…
…110011111010000
31020211101211122000
4130323232133100
51443231401320
6120100114000
715012664425
oct3473563720
91224354560
10485418960
1122a0084a4
12116695900
137974b370
144867bd4c
152c937c90
hex1ceee7d0

485418960 has 320 divisors, whose sum is σ = 1837382400. Its totient is φ = 117061632.

The previous prime is 485418949. The next prime is 485418971. The reversal of 485418960 is 69814584.

485418960 is a `hidden beast` number, since 48 + 541 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (485418949) and next prime (485418971).

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 63 ways as a sum of consecutive naturals, for example, 1656574 + ... + 1656866.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2485418960 is an apocalyptic number.

485418960 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 485418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918691200).

485418960 is an abundant number, since it is smaller than the sum of its proper divisors (1351963440).

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

485418960 is a wasteful number, since it uses less digits than its factorization.

485418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 485418960 is about 22032.2254890422. The cubic root of 485418960 is about 785.9089691208.

The spelling of 485418960 in words is "four hundred eighty-five million, four hundred eighteen thousand, nine hundred sixty".