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468290560 = 210591463
BaseRepresentation
bin11011111010011…
…000110000000000
31012122011121212211
4123322120300000
51424340244220
6114245031504
714414255413
oct3372306000
91178147784
10468290560
112203796a1
121109b5594
137603200a
144629db7a
152b1a2b5a
hex1be98c00

468290560 has 44 divisors (see below), whose sum is σ = 1123360848. Its totient is φ = 187314176.

The previous prime is 468290531. The next prime is 468290567. The reversal of 468290560 is 65092864.

It is a happy number.

It is a super-2 number, since 2×4682905602 = 438592097170227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (468290567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40612 + ... + 50851.

Almost surely, 2468290560 is an apocalyptic number.

468290560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468290560 is an abundant number, since it is smaller than the sum of its proper divisors (655070288).

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

468290560 is an equidigital number, since it uses as much as digits as its factorization.

468290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91488 (or 91470 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 468290560 is about 21640.0221811347. The cubic root of 468290560 is about 776.5542502986.

The spelling of 468290560 in words is "four hundred sixty-eight million, two hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 91463 182926 365852 457315 731704 914630 1463408 1829260 2926816 3658520 5853632 7317040 11707264 14634080 23414528 29268160 46829056 58536320 93658112 117072640 234145280 468290560