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413967465 = 32538324019
BaseRepresentation
bin11000101011001…
…010010001101001
31001211221201121100
4120223022101221
51321433424330
6105024432013
713154444142
oct3053122151
91054851540
10413967465
111a274597a
12b6778609
13679c1c82
143cd9cac9
1526522060
hex18aca469

413967465 has 24 divisors (see below), whose sum is σ = 719447040. Its totient is φ = 220197024.

The previous prime is 413967443. The next prime is 413967469. The reversal of 413967465 is 564769314.

It is not a de Polignac number, because 413967465 - 28 = 413967209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 413967465.

It is not an unprimeable number, because it can be changed into a prime (413967469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5226 + ... + 29244.

It is an arithmetic number, because the mean of its divisors is an integer number (29976960).

Almost surely, 2413967465 is an apocalyptic number.

413967465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413967465 is a deficient number, since it is larger than the sum of its proper divisors (305479575).

413967465 is a wasteful number, since it uses less digits than its factorization.

413967465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24413 (or 24410 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 413967465 is about 20346.1904296603. The cubic root of 413967465 is about 745.2844671365.

The spelling of 413967465 in words is "four hundred thirteen million, nine hundred sixty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 383 1149 1915 3447 5745 17235 24019 72057 120095 216171 360285 1080855 9199277 27597831 45996385 82793493 137989155 413967465