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463420 = 225172947
BaseRepresentation
bin1110001001000111100
3212112200201
41301020330
5104312140
613533244
73640036
oct1611074
9775621
10463420
112971a1
121a4224
13132c19
14c0c56
159249a
hex7123c

463420 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 164864.

The previous prime is 463399. The next prime is 463433. The reversal of 463420 is 24364.

463420 = T59 + T60 + ... + T143.

It is an Ulam number.

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, 9837 + ... + 9883.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2463420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

463420 is an abundant number, since it is smaller than the sum of its proper divisors (625220).

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

463420 is a wasteful number, since it uses less digits than its factorization.

463420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 463420 is about 680.7495868526. The cubic root of 463420 is about 77.3852620573.

Adding to 463420 its reverse (24364), we get a palindrome (487784).

The spelling of 463420 in words is "four hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 47 58 68 85 94 116 145 170 188 235 290 340 470 493 580 799 940 986 1363 1598 1972 2465 2726 3196 3995 4930 5452 6815 7990 9860 13630 15980 23171 27260 46342 92684 115855 231710 463420