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464880864 = 2537691787
BaseRepresentation
bin11011101101011…
…000010011100000
31012101202101122210
4123231120103200
51423002141424
6114044002120
714343264540
oct3355302340
91171671583
10464880864
1121945a968
1210b830340
137540a046
1445a53320
152ac2c729
hex1bb584e0

464880864 has 48 divisors (see below), whose sum is σ = 1394644608. Its totient is φ = 132822912.

The previous prime is 464880841. The next prime is 464880887. The reversal of 464880864 is 468088464.

It is an interprime number because it is at equal distance from previous prime (464880841) and next prime (464880887).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4648808642 = 432228435426772992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345222 + ... + 346565.

It is an arithmetic number, because the mean of its divisors is an integer number (29055096).

Almost surely, 2464880864 is an apocalyptic number.

It is an amenable number.

464880864 is an abundant number, since it is smaller than the sum of its proper divisors (929763744).

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

464880864 is a wasteful number, since it uses less digits than its factorization.

464880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691807 (or 691799 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 464880864 is about 21561.0960760347. The cubic root of 464880864 is about 774.6649201471.

The spelling of 464880864 in words is "four hundred sixty-four million, eight hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691787 1383574 2075361 2767148 4150722 4842509 5534296 8301444 9685018 11068592 14527527 16602888 19370036 22137184 29055054 33205776 38740072 58110108 66411552 77480144 116220216 154960288 232440432 464880864