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470663424 = 28327211379
BaseRepresentation
bin11100000011011…
…100000100000000
31012210122011211200
4130003130010000
51430442212144
6114411541200
714443400400
oct3403340400
91183564750
10470663424
1122174a440
1211175a800
137668308a
144671a800
152b4c0c69
hex1c0dc100

470663424 has 324 divisors, whose sum is σ = 1726648560. Its totient is φ = 121927680.

The previous prime is 470663407. The next prime is 470663429. The reversal of 470663424 is 424366074.

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

It is not an unprimeable number, because it can be changed into a prime (470663429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241667 + ... + 1242045.

Almost surely, 2470663424 is an apocalyptic number.

470663424 is a gapful number since it is divisible by the number (44) 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 470663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863324280).

470663424 is an abundant number, since it is smaller than the sum of its proper divisors (1255985136).

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

470663424 is a wasteful number, since it uses less digits than its factorization.

470663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 470663424 is about 21694.7787266891. The cubic root of 470663424 is about 777.8636610348.

The spelling of 470663424 in words is "four hundred seventy million, six hundred sixty-three thousand, four hundred twenty-four".