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406744380 = 2232571721117
BaseRepresentation
bin11000001111100…
…110110100111100
31001100100202101200
4120033212310330
51313111310010
6104205535500
713036161450
oct3017466474
91040322350
10406744380
11199662089
12b4274590
1366363363
143c03c660
1525a96cc0
hex183e6d3c

406744380 has 216 divisors, whose sum is σ = 1499211168. Its totient is φ = 87422976.

The previous prime is 406744379. The next prime is 406744447. The reversal of 406744380 is 83447604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 363582 + ... + 364698.

Almost surely, 2406744380 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 406744380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749605584).

406744380 is an abundant number, since it is smaller than the sum of its proper divisors (1092466788).

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

406744380 is a wasteful number, since it uses less digits than its factorization.

406744380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 406744380 is about 20167.9047002905. The cubic root of 406744380 is about 740.9243258404.

It can be divided in two parts, 40674 and 4380, that added together give a palindrome (45054).

The spelling of 406744380 in words is "four hundred six million, seven hundred forty-four thousand, three hundred eighty".