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475064460 = 2233513313759
BaseRepresentation
bin11100010100001…
…110100010001100
31020002220202221000
4130110032202030
51433104030320
6115050140300
714525660403
oct3424164214
91202822830
10475064460
11224185a62
12113121690
1377564340
144714463a
152ba8ec90
hex1c50e88c

475064460 has 384 divisors, whose sum is σ = 1716019200. Its totient is φ = 108241920.

The previous prime is 475064449. The next prime is 475064477. The reversal of 475064460 is 64460574.

475064460 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 644 + 6 + 0 = 666.

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

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, 8051911 + ... + 8051969.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2475064460 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 475064460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858009600).

475064460 is an abundant number, since it is smaller than the sum of its proper divisors (1240954740).

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

475064460 is a wasteful number, since it uses less digits than its factorization.

475064460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 475064460 is about 21795.9734813566. The cubic root of 475064460 is about 780.2806682255.

The spelling of 475064460 in words is "four hundred seventy-five million, sixty-four thousand, four hundred sixty".