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461020480 = 2651440689
BaseRepresentation
bin11011011110101…
…001110101000000
31012010111021012121
4123132221311000
51421010123410
6113425134024
714265416014
oct3336516500
91163437177
10461020480
11217263568
1210a48a314
1374687bab
144532a544
152a7189da
hex1b7a9d40

461020480 has 28 divisors (see below), whose sum is σ = 1097805780. Its totient is φ = 184408064.

The previous prime is 461020463. The next prime is 461020529. The reversal of 461020480 is 84020164.

It can be written as a sum of positive squares in 2 ways, for example, as 68029504 + 392990976 = 8248^2 + 19824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 720025 + ... + 720664.

Almost surely, 2461020480 is an apocalyptic number.

461020480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461020480 is an abundant number, since it is smaller than the sum of its proper divisors (636785300).

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

461020480 is a wasteful number, since it uses less digits than its factorization.

461020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440706 (or 1440696 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 461020480 is about 21471.3874726344. The cubic root of 461020480 is about 772.5146773359.

The spelling of 461020480 in words is "four hundred sixty-one million, twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1440689 2881378 5762756 7203445 11525512 14406890 23051024 28813780 46102048 57627560 92204096 115255120 230510240 461020480