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408428664 = 233723105701
BaseRepresentation
bin11000010110000…
…010000001111000
31001110112022210120
4120112002001320
51314024204124
6104310013240
713056405060
oct3026020170
91043468716
10408428664
1119a602556
12b4947220
1366802b87
143c35a3a0
1525ccad79
hex18582078

408428664 has 64 divisors (see below), whose sum is σ = 1217687040. Its totient is φ = 111619200.

The previous prime is 408428651. The next prime is 408428677. The reversal of 408428664 is 466824804.

It is an interprime number because it is at equal distance from previous prime (408428651) and next prime (408428677).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48987 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (19026360).

Almost surely, 2408428664 is an apocalyptic number.

It is an amenable number.

408428664 is an abundant number, since it is smaller than the sum of its proper divisors (809258376).

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

408428664 is a wasteful number, since it uses less digits than its factorization.

408428664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105740 (or 105736 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 408428664 is about 20209.6181062384. The cubic root of 408428664 is about 741.9456129931.

The spelling of 408428664 in words is "four hundred eight million, four hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 105701 211402 317103 422804 634206 739907 845608 1268412 1479814 2219721 2431123 2536824 2959628 4439442 4862246 5919256 7293369 8878884 9724492 14586738 17017861 17757768 19448984 29173476 34035722 51053583 58346952 68071444 102107166 136142888 204214332 408428664