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485591040 = 21132511479
BaseRepresentation
bin11100111100011…
…000100000000000
31020211201120200100
4130330120200000
51443302403130
6120103522400
715014312214
oct3474304000
91224646610
10485591040
1122a115810
12116759400
13797ab79c
14486c4944
152c96dc60
hex1cf18800

485591040 has 288 divisors, whose sum is σ = 1839801600. Its totient is φ = 117473280.

The previous prime is 485591027. The next prime is 485591047. The reversal of 485591040 is 40195584.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 485590986 and 485591004.

It is not an unprimeable number, because it can be changed into a prime (485591047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013521 + ... + 1013999.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2485591040 is an apocalyptic number.

485591040 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 485591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

485591040 is an abundant number, since it is smaller than the sum of its proper divisors (1354210560).

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

485591040 is a wasteful number, since it uses less digits than its factorization.

485591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 485591040 is about 22036.1303317983. The cubic root of 485591040 is about 786.0018258412.

The spelling of 485591040 in words is "four hundred eighty-five million, five hundred ninety-one thousand, forty".