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412494080 = 285322261
BaseRepresentation
bin11000100101100…
…010100100000000
31001202011212111112
4120211202210000
51321044302310
6104533102452
713136066435
oct3045424400
91052155445
10412494080
111a19299a9
12b6187a28
13675c744b
143cad7b8c
1526330705
hex18962900

412494080 has 36 divisors (see below), whose sum is σ = 988055292. Its totient is φ = 164997120.

The previous prime is 412494067. The next prime is 412494083. The reversal of 412494080 is 80494214.

412494080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167133184 + 245360896 = 12928^2 + 15664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (412494083) 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, 159851 + ... + 162410.

Almost surely, 2412494080 is an apocalyptic number.

412494080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412494080 is an abundant number, since it is smaller than the sum of its proper divisors (575561212).

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

412494080 is an equidigital number, since it uses as much as digits as its factorization.

412494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322282 (or 322268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 412494080 is about 20309.9502707417. The cubic root of 412494080 is about 744.3992153573.

The spelling of 412494080 in words is "four hundred twelve million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 322261 644522 1289044 1611305 2578088 3222610 5156176 6445220 10312352 12890440 20624704 25780880 41249408 51561760 82498816 103123520 206247040 412494080