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464474412 = 22349714779
BaseRepresentation
bin11011101011110…
…101000100101100
31012100222202010000
4123223311010230
51422401140122
6114031144300
714336652543
oct3353650454
91170882100
10464474412
11219202556
1210b675090
13752c703c
144598915a
152ab9c0ac
hex1baf512c

464474412 has 60 divisors (see below), whose sum is σ = 1226828680. Its totient is φ = 153218304.

The previous prime is 464474407. The next prime is 464474419. The reversal of 464474412 is 214474464.

464474412 is a `hidden beast` number, since 4 + 644 + 7 + 4 + 4 + 1 + 2 = 666.

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 (464474419) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24039 + ... + 38817.

Almost surely, 2464474412 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 464474412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613414340).

464474412 is an abundant number, since it is smaller than the sum of its proper divisors (762354268).

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

464474412 is a wasteful number, since it uses less digits than its factorization.

464474412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14881 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 464474412 is about 21551.6684272935. The cubic root of 464474412 is about 774.4390874385.

The spelling of 464474412 in words is "four hundred sixty-four million, four hundred seventy-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 3492 5238 7857 10476 14779 15714 29558 31428 44337 59116 88674 133011 177348 266022 399033 532044 798066 1197099 1433563 1596132 2394198 2867126 4300689 4788396 5734252 8601378 12902067 17202756 25804134 38706201 51608268 77412402 116118603 154824804 232237206 464474412