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423255456 = 2535135379
BaseRepresentation
bin11001001110100…
…101110110100000
31002111102121100000
4121032211312200
51331323133311
6105555500000
713326416631
oct3116456640
91074377300
10423255456
111a7a0a0a8
12b98b7600
13698c4720
14402d9888
1527259056
hex193a5da0

423255456 has 288 divisors, whose sum is σ = 1386927360. Its totient is φ = 126157824.

The previous prime is 423255449. The next prime is 423255467. The reversal of 423255456 is 654552324.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (144000) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 423255456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5357625 + ... + 5357703.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2423255456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

423255456 is an abundant number, since it is smaller than the sum of its proper divisors (963671904).

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

423255456 is a wasteful number, since it uses less digits than its factorization.

423255456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 423255456 is about 20573.1732117338. The cubic root of 423255456 is about 750.8171573485.

The spelling of 423255456 in words is "four hundred twenty-three million, two hundred fifty-five thousand, four hundred fifty-six".