414959545 has 64 divisors (see below), whose sum is σ = 708051456. Its totient is φ = 224686080.

The previous prime is 414959543. The next prime is 414959549. The reversal of 414959545 is 545959414.

It is not a de Polignac number, because 414959545 - 2¹ = 414959543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414959495 and 414959504.

It is not an unprimeable number, because it can be changed into a prime (414959543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82647 + ... + 87523.

It is an arithmetic number, because the mean of its divisors is an integer number (11063304).

Almost surely, 2^414959545 is an apocalyptic number.

It is an amenable number.

414959545 is a deficient number, since it is larger than the sum of its proper divisors (293091911).

414959545 is a wasteful number, since it uses less digits than its factorization.

414959545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930.

The product of its digits is 648000, while the sum is 46.

The square root of 414959545 is about 20370.5558343409. Note that the first 3 decimals coincide. The cubic root of 414959545 is about 745.8793544282.

It can be divided in two parts, 41495 and 9545, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 414959545 in words is "four hundred fourteen million, nine hundred fifty-nine thousand, five hundred forty-five".