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412750080 = 283551327
BaseRepresentation
bin11000100110100…
…001000100000000
31001202122212200000
4120212201010000
51321131000310
6104542400000
713141214001
oct3046410400
91052585600
10412750080
111a1a94276
12b6290000
1367686b22
143cb631a8
15263814c0
hex189a1100

412750080 has 216 divisors, whose sum is σ = 1482079872. Its totient is φ = 109983744.

The previous prime is 412750057. The next prime is 412750087. The reversal of 412750080 is 80057214.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412750087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310377 + ... + 311703.

Almost surely, 2412750080 is an apocalyptic number.

412750080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741039936).

412750080 is an abundant number, since it is smaller than the sum of its proper divisors (1069329792).

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

412750080 is an equidigital number, since it uses as much as digits as its factorization.

412750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 412750080 is about 20316.2516227773. The cubic root of 412750080 is about 744.5531786093.

The spelling of 412750080 in words is "four hundred twelve million, seven hundred fifty thousand, eighty".