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405270468 = 223237330181
BaseRepresentation
bin11000001001111…
…110111111000100
31001020120212120100
4120021332333010
51312222123333
6104114204100
713020512361
oct3011767704
91036525510
10405270468
11198845779
12b3883630
1365c68515
143bb77468
15258a5213
hex1827efc4

405270468 has 36 divisors (see below), whose sum is σ = 1027214188. Its totient is φ = 134723520.

The previous prime is 405270457. The next prime is 405270521. The reversal of 405270468 is 864072504.

It can be written as a sum of positive squares in 2 ways, for example, as 202549824 + 202720644 = 14232^2 + 14238^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 1663 + ... + 28518.

Almost surely, 2405270468 is an apocalyptic number.

It is an amenable number.

405270468 is an abundant number, since it is smaller than the sum of its proper divisors (621943720).

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

405270468 is a wasteful number, since it uses less digits than its factorization.

405270468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30564 (or 30559 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 405270468 is about 20131.3305074454. The cubic root of 405270468 is about 740.0282847723.

The spelling of 405270468 in words is "four hundred five million, two hundred seventy thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 13428 30181 60362 90543 120724 181086 271629 362172 543258 1086516 11257513 22515026 33772539 45030052 67545078 101317617 135090156 202635234 405270468