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463680 = 26325723
BaseRepresentation
bin1110001001101000000
3212120001100
41301031000
5104314210
613534400
73640560
oct1611500
9776040
10463680
11297408
121a4400
13133089
14c0da0
15925c0
hex71340

463680 has 168 divisors, whose sum is σ = 1901952. Its totient is φ = 101376.

The previous prime is 463679. The next prime is 463693. The reversal of 463680 is 86364.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20149 + ... + 20171.

463680 is a Friedman number, since it can be written as 360*(6^4-8), using all its digits and the basic arithmetic operations.

2463680 is an apocalyptic number.

463680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950976).

463680 is an abundant number, since it is smaller than the sum of its proper divisors (1438272).

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

463680 is a wasteful number, since it uses less digits than its factorization.

463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 463680 is about 680.9405260373. The cubic root of 463680 is about 77.3997315857.

The spelling of 463680 in words is "four hundred sixty-three thousand, six hundred eighty".