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404215020 = 2232511267277
BaseRepresentation
bin11000000101111…
…101010011101100
31001011121020202200
4120011331103230
51311434340040
6104035421500
713005525306
oct3005752354
91034536680
10404215020
11198194800
12b3454890
1365988cb1
143b980976
1525747630
hex1817d4ec

404215020 has 216 divisors, whose sum is σ = 1372770672. Its totient is φ = 96180480.

The previous prime is 404215013. The next prime is 404215027. The reversal of 404215020 is 20512404.

It is an interprime number because it is at equal distance from previous prime (404215013) and next prime (404215027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404214984 and 404215002.

It is not an unprimeable number, because it can be changed into a prime (404215027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1459122 + ... + 1459398.

Almost surely, 2404215020 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 404215020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686385336).

404215020 is an abundant number, since it is smaller than the sum of its proper divisors (968555652).

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

404215020 is a wasteful number, since it uses less digits than its factorization.

404215020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404215020 is about 20105.0993531492. The cubic root of 404215020 is about 739.3853064337.

Adding to 404215020 its reverse (20512404), we get a palindrome (424727424).

The spelling of 404215020 in words is "four hundred four million, two hundred fifteen thousand, twenty".