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406464468 = 22358015839
BaseRepresentation
bin11000001110100…
…010011111010100
31001022211112102120
4120032202133110
51313023330333
6104155535540
713033614414
oct3016423724
91038745376
10406464468
11199490853
12b415a5b0
1366295b27
143bda8644
1525a3ddb3
hex183a27d4

406464468 has 24 divisors (see below), whose sum is σ = 948743040. Its totient is φ = 135441600.

The previous prime is 406464449. The next prime is 406464469. The reversal of 406464468 is 864464604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406464469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66693 + ... + 72531.

It is an arithmetic number, because the mean of its divisors is an integer number (39530960).

Almost surely, 2406464468 is an apocalyptic number.

It is an amenable number.

406464468 is an abundant number, since it is smaller than the sum of its proper divisors (542278572).

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

406464468 is a wasteful number, since it uses less digits than its factorization.

406464468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 406464468 is about 20160.9639650489. The cubic root of 406464468 is about 740.7543245547.

The spelling of 406464468 in words is "four hundred six million, four hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 5801 5839 11602 11678 17403 17517 23204 23356 34806 35034 69612 70068 33872039 67744078 101616117 135488156 203232234 406464468