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464000406 = 231929140351
BaseRepresentation
bin11011101010000…
…001010110010110
31012100002122220020
4123222001112112
51422241003111
6114013050010
714332636602
oct3352012626
91170078806
10464000406
11218a09411
1210b486906
137518c36c
14458a4502
152ab06906
hex1ba81596

464000406 has 32 divisors (see below), whose sum is σ = 1010534400. Its totient is φ = 141472800.

The previous prime is 464000389. The next prime is 464000423. The reversal of 464000406 is 604000464.

It is an interprime number because it is at equal distance from previous prime (464000389) and next prime (464000423).

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, 66870 + ... + 73481.

It is an arithmetic number, because the mean of its divisors is an integer number (31579200).

Almost surely, 2464000406 is an apocalyptic number.

464000406 is an abundant number, since it is smaller than the sum of its proper divisors (546533994).

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

464000406 is a wasteful number, since it uses less digits than its factorization.

464000406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140404.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 464000406 is about 21540.6686525744. The cubic root of 464000406 is about 774.1755539266.

The spelling of 464000406 in words is "four hundred sixty-four million, four hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 551 1102 1653 3306 140351 280702 421053 842106 2666669 4070179 5333338 8000007 8140358 12210537 16000014 24421074 77333401 154666802 232000203 464000406