414520461 has 24 divisors (see below), whose sum is σ = 625229280. Its totient is φ = 264306336.

The previous prime is 414520459. The next prime is 414520481. The reversal of 414520461 is 164025414.

It is not a de Polignac number, because 414520461 - 2¹ = 414520459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414520411) 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, 20506 + ... + 35348.

It is an arithmetic number, because the mean of its divisors is an integer number (26051220).

Almost surely, 2^414520461 is an apocalyptic number.

It is an amenable number.

414520461 is a deficient number, since it is larger than the sum of its proper divisors (210708819).

414520461 is a wasteful number, since it uses less digits than its factorization.

414520461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14982 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 414520461 is about 20359.7755635960. The cubic root of 414520461 is about 745.6161807631.

Adding to 414520461 its reverse (164025414), we get a palindrome (578545875).

The spelling of 414520461 in words is "four hundred fourteen million, five hundred twenty thousand, four hundred sixty-one".