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465430464 = 2632808039
BaseRepresentation
bin11011101111011…
…110011111000000
31012102210022120100
4123233132133000
51423122233324
6114103442400
714351044062
oct3357363700
91172708510
10465430464
112197a5884
1210ba56400
1375570255
1445b57732
152acda4c9
hex1bbde7c0

465430464 has 42 divisors (see below), whose sum is σ = 1334074040. Its totient is φ = 155143296.

The previous prime is 465430463. The next prime is 465430477. The reversal of 465430464 is 464034564.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465430463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 403444 + ... + 404595.

Almost surely, 2465430464 is an apocalyptic number.

It is an amenable number.

465430464 is an abundant number, since it is smaller than the sum of its proper divisors (868643576).

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

465430464 is a wasteful number, since it uses less digits than its factorization.

465430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808057 (or 808044 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 465430464 is about 21573.8374889587. The cubic root of 465430464 is about 774.9700794553.

The spelling of 465430464 in words is "four hundred sixty-five million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 808039 1616078 2424117 3232156 4848234 6464312 7272351 9696468 12928624 14544702 19392936 25857248 29089404 38785872 51714496 58178808 77571744 116357616 155143488 232715232 465430464