414905445 has 24 divisors (see below), whose sum is σ = 736713432. Its totient is φ = 215884800.

The previous prime is 414905423. The next prime is 414905461. The reversal of 414905445 is 544509414.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 410913441 = 1998^2 + 20271^2 .

It is not a de Polignac number, because 414905445 - 2⁸ = 414905189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110596 + ... + 114285.

It is an arithmetic number, because the mean of its divisors is an integer number (30696393).

Almost surely, 2^414905445 is an apocalyptic number.

414905445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414905445 is a deficient number, since it is larger than the sum of its proper divisors (321807987).

414905445 is a wasteful number, since it uses less digits than its factorization.

414905445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224933 (or 224930 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 414905445 is about 20369.2278940563. The cubic root of 414905445 is about 745.8469385559.

The spelling of 414905445 in words is "four hundred fourteen million, nine hundred five thousand, four hundred forty-five".