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423462480 = 243573147173
BaseRepresentation
bin11001001111011…
…000011001010000
31002111211010022120
4121033120121100
51331401244410
6110004134240
713331241330
oct3117303120
91074733276
10423462480
111a80406a1
12b9997380
1369967a1c
14403510c0
152729a570
hex193d8650

423462480 has 320 divisors, whose sum is σ = 1590755328. Its totient is φ = 91146240.

The previous prime is 423462461. The next prime is 423462497. The reversal of 423462480 is 84264324.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2447674 + ... + 2447846.

Almost surely, 2423462480 is an apocalyptic number.

423462480 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 423462480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795377664).

423462480 is an abundant number, since it is smaller than the sum of its proper divisors (1167292848).

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

423462480 is a wasteful number, since it uses less digits than its factorization.

423462480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 423462480 is about 20578.2040032652. The cubic root of 423462480 is about 750.9395513883.

The spelling of 423462480 in words is "four hundred twenty-three million, four hundred sixty-two thousand, four hundred eighty".