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428460 = 223537193
BaseRepresentation
bin1101000100110101100
3210202201220
41220212230
5102202320
613103340
73433104
oct1504654
9722656
10428460
112729aa
12187b50
13120036
14b2204
1586e40
hex689ac

428460 has 48 divisors (see below), whose sum is σ = 1238496. Its totient is φ = 110592.

The previous prime is 428429. The next prime is 428471. The reversal of 428460 is 64824.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 428460.

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, 2124 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (25802).

2428460 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 428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619248).

428460 is an abundant number, since it is smaller than the sum of its proper divisors (810036).

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

428460 is a wasteful number, since it uses less digits than its factorization.

428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 428460 is about 654.5685601982. The cubic root of 428460 is about 75.3882093354.

It can be divided in two parts, 428 and 460, that added together give a palindrome (888).

The spelling of 428460 in words is "four hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 193 222 370 386 444 555 579 740 772 965 1110 1158 1930 2220 2316 2895 3860 5790 7141 11580 14282 21423 28564 35705 42846 71410 85692 107115 142820 214230 428460