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470799000 = 23335374753
BaseRepresentation
bin11100000011111…
…101001010011000
31012210220001211000
4130003331022120
51431011032000
6114414505000
714444503560
oct3403751230
91183801730
10470799000
11221832291
12111805160
13766cc9b9
1446753da0
152b4eb000
hex1c0fd298

470799000 has 512 divisors, whose sum is σ = 1940889600. Its totient is φ = 103334400.

The previous prime is 470798981. The next prime is 470799011. The reversal of 470799000 is 997074.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8882974 + ... + 8883026.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2470799000 is an apocalyptic number.

470799000 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 470799000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970444800).

470799000 is an abundant number, since it is smaller than the sum of its proper divisors (1470090600).

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

470799000 is a wasteful number, since it uses less digits than its factorization.

470799000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 470799000 is about 21697.9031244957. The cubic root of 470799000 is about 777.9383425121.

The spelling of 470799000 in words is "four hundred seventy million, seven hundred ninety-nine thousand".