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452000420 = 225174572909
BaseRepresentation
bin11010111100001…
…111101010100100
31011111112000000022
4122330033222210
51411203003140
6112503534312
714125640324
oct3274175244
91144460008
10452000420
11212162673
1210745a398
137284a391
144405d284
1529a360b5
hex1af0faa4

452000420 has 48 divisors (see below), whose sum is σ = 1007581680. Its totient is φ = 169734144.

The previous prime is 452000411. The next prime is 452000501. The reversal of 452000420 is 24000254.

It can be written as a sum of positive squares in 8 ways, for example, as 99161764 + 352838656 = 9958^2 + 18784^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 153926 + ... + 156834.

It is an arithmetic number, because the mean of its divisors is an integer number (20991285).

Almost surely, 2452000420 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 452000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503790840).

452000420 is an abundant number, since it is smaller than the sum of its proper divisors (555581260).

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

452000420 is a wasteful number, since it uses less digits than its factorization.

452000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 452000420 is about 21260.3015030361. The cubic root of 452000420 is about 767.4432655845.

Adding to 452000420 its reverse (24000254), we get a palindrome (476000674).

The spelling of 452000420 in words is "four hundred fifty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 457 914 1828 2285 2909 4570 5818 7769 9140 11636 14545 15538 29090 31076 38845 49453 58180 77690 98906 155380 197812 247265 494530 989060 1329413 2658826 5317652 6647065 13294130 22600021 26588260 45200042 90400084 113000105 226000210 452000420