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485461440 = 26325592857
BaseRepresentation
bin11100111011111…
…000110111000000
31020211110222220100
4130323320313000
51443234231230
6120101042400
715013232322
oct3473706700
91224428810
10485461440
1122a037402
121166b6400
13797647b9
144868d612
152c945660
hex1cef8dc0

485461440 has 168 divisors, whose sum is σ = 1698680880. Its totient is φ = 127217664.

The previous prime is 485461369. The next prime is 485461489. The reversal of 485461440 is 44164584.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 485461395 and 485461404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168492 + ... + 171348.

Almost surely, 2485461440 is an apocalyptic number.

485461440 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 485461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849340440).

485461440 is an abundant number, since it is smaller than the sum of its proper divisors (1213219440).

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

485461440 is a wasteful number, since it uses less digits than its factorization.

485461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 485461440 is about 22033.1895103728. The cubic root of 485461440 is about 785.9318939493.

The spelling of 485461440 in words is "four hundred eighty-five million, four hundred sixty-one thousand, four hundred forty".