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406708220 = 225315312377
BaseRepresentation
bin11000001111011…
…101111111111100
31001100021220210102
4120033131333330
51313104130340
6104205100232
713035651152
oct3017357774
91040256712
10406708220
111996379a6
12b4257678
136634ca69
143c02d3d2
1525a8b215
hex183ddffc

406708220 has 48 divisors (see below), whose sum is σ = 898345728. Its totient is φ = 154452480.

The previous prime is 406708219. The next prime is 406708223. The reversal of 406708220 is 22807604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406708223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26672 + ... + 39048.

It is an arithmetic number, because the mean of its divisors is an integer number (18715536).

Almost surely, 2406708220 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 406708220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449172864).

406708220 is an abundant number, since it is smaller than the sum of its proper divisors (491637508).

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

406708220 is a wasteful number, since it uses less digits than its factorization.

406708220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 406708220 is about 20167.0082064743. The cubic root of 406708220 is about 740.9023688743.

The spelling of 406708220 in words is "four hundred six million, seven hundred eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 3286 6572 8215 12377 16430 24754 32860 49508 61885 123770 247540 383687 655981 767374 1311962 1534748 1918435 2623924 3279905 3836870 6559810 7673740 13119620 20335411 40670822 81341644 101677055 203354110 406708220