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470470000 = 24547111347
BaseRepresentation
bin11100000010101…
…100110101110000
31012210021100111211
4130002230311300
51430420020000
6114403445504
714441633440
oct3402546560
91183240454
10470470000
11221628090
12111686894
1376616020
14466aa120
152b4837ba
hex1c0acd70

470470000 has 400 divisors, whose sum is σ = 1561900032. Its totient is φ = 132480000.

The previous prime is 470469983. The next prime is 470470027. The reversal of 470470000 is 74074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 79 ways as a sum of consecutive naturals, for example, 10009977 + ... + 10010023.

Almost surely, 2470470000 is an apocalyptic number.

470470000 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 470470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780950016).

470470000 is an abundant number, since it is smaller than the sum of its proper divisors (1091430032).

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

470470000 is a wasteful number, since it uses less digits than its factorization.

470470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 470470000 is about 21690.3204217918. The cubic root of 470470000 is about 777.7570893968.

The spelling of 470470000 in words is "four hundred seventy million, four hundred seventy thousand".