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424227456 = 273523593
BaseRepresentation
bin11001010010010…
…011001010000000
31002120020222200000
4121102103022000
51332100234311
6110032400000
713340605512
oct3122231200
91076228600
10424227456
111a8513404
12ba0a6000
1369b74c83
14404adbb2
152739c056
hex19493280

424227456 has 192 divisors, whose sum is σ = 1323241920. Its totient is φ = 135032832.

The previous prime is 424227443. The next prime is 424227473. The reversal of 424227456 is 654722424.

424227456 is a `hidden beast` number, since 424 + 227 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424227456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715096 + ... + 715688.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2424227456 is an apocalyptic number.

424227456 is a gapful number since it is divisible by the number (46) 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 424227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

424227456 is an abundant number, since it is smaller than the sum of its proper divisors (899014464).

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

424227456 is an equidigital number, since it uses as much as digits as its factorization.

424227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 621 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 424227456 is about 20596.7826613770. The cubic root of 424227456 is about 751.3914648376.

The spelling of 424227456 in words is "four hundred twenty-four million, two hundred twenty-seven thousand, four hundred fifty-six".