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465440 = 2552909
BaseRepresentation
bin1110001101000100000
3212122110112
41301220200
5104343230
613550452
73645653
oct1615040
9778415
10465440
11298768
121a5428
13133b11
14c189a
1592d95
hex71a20

465440 has 24 divisors (see below), whose sum is σ = 1099980. Its totient is φ = 186112.

The previous prime is 465433. The next prime is 465463. The reversal of 465440 is 44564.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 8464 = 676^2 + 92^2 .

It is an unprimeable number.

465440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1295 + ... + 1614.

2465440 is an apocalyptic number.

465440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465440 is an abundant number, since it is smaller than the sum of its proper divisors (634540).

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

465440 is a wasteful number, since it uses less digits than its factorization.

465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 465440 is about 682.2316322189. The cubic root of 465440 is about 77.4975372093.

The spelling of 465440 in words is "four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2909 5818 11636 14545 23272 29090 46544 58180 93088 116360 232720 465440