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413995456 = 267924097
BaseRepresentation
bin11000101011010…
…001000111000000
31001212000011000001
4120223101013000
51321440323311
6105025205344
713154621560
oct3053210700
91055004001
10413995456
111a2764a06
12b6790854
1367a01934
143cda8da0
152652a4c1
hex18ad11c0

413995456 has 28 divisors (see below), whose sum is σ = 938883568. Its totient is φ = 177426432.

The previous prime is 413995453. The next prime is 413995459. The reversal of 413995456 is 654599314.

It is an interprime number because it is at equal distance from previous prime (413995453) and next prime (413995459).

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×4139954563 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413995453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461601 + ... + 462496.

It is an arithmetic number, because the mean of its divisors is an integer number (33531556).

Almost surely, 2413995456 is an apocalyptic number.

It is an amenable number.

413995456 is an abundant number, since it is smaller than the sum of its proper divisors (524888112).

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

413995456 is an equidigital number, since it uses as much as digits as its factorization.

413995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924116 (or 924106 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The square root of 413995456 is about 20346.8782863613. The cubic root of 413995456 is about 745.3012645816.

The spelling of 413995456 in words is "four hundred thirteen million, nine hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 924097 1848194 3696388 6468679 7392776 12937358 14785552 25874716 29571104 51749432 59142208 103498864 206997728 413995456