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468355840 = 285365903
BaseRepresentation
bin11011111010101…
…000101100000000
31012122021221102121
4123322220230000
51424344341330
6114250254024
714414646631
oct3372505400
91178257377
10468355840
11220413747
12110a27314
1376055944
14462b9888
152b1b717a
hex1bea8b00

468355840 has 36 divisors (see below), whose sum is σ = 1121861664. Its totient is φ = 187341824.

The previous prime is 468355819. The next prime is 468355861. The reversal of 468355840 is 48553864.

It is an interprime number because it is at equal distance from previous prime (468355819) and next prime (468355861).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181672 + ... + 184231.

It is an arithmetic number, because the mean of its divisors is an integer number (31162824).

Almost surely, 2468355840 is an apocalyptic number.

468355840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468355840 is an abundant number, since it is smaller than the sum of its proper divisors (653505824).

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

468355840 is an equidigital number, since it uses as much as digits as its factorization.

468355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365924 (or 365910 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 468355840 is about 21641.5304449570. The cubic root of 468355840 is about 776.5903326731.

The spelling of 468355840 in words is "four hundred sixty-eight million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 365903 731806 1463612 1829515 2927224 3659030 5854448 7318060 11708896 14636120 23417792 29272240 46835584 58544480 93671168 117088960 234177920 468355840