414612560 has 40 divisors (see below), whose sum is σ = 966232800. Its totient is φ = 165456512.

The previous prime is 414612431. The next prime is 414612563. The reversal of 414612560 is 65216414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414612563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29591 + ... + 41289.

It is an arithmetic number, because the mean of its divisors is an integer number (24155820).

Almost surely, 2^414612560 is an apocalyptic number.

414612560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414612560 is an abundant number, since it is smaller than the sum of its proper divisors (551620240).

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

414612560 is a wasteful number, since it uses less digits than its factorization.

414612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 414612560 is about 20362.0372261716. The cubic root of 414612560 is about 745.6713975143.

Adding to 414612560 its reverse (65216414), we get a palindrome (479828974).

The spelling of 414612560 in words is "four hundred fourteen million, six hundred twelve thousand, five hundred sixty".