414514540 has 72 divisors (see below), whose sum is σ = 963786096. Its totient is φ = 149635200.

The previous prime is 414514531. The next prime is 414514549. The reversal of 414514540 is 45415414.

It is an interprime number because it is at equal distance from previous prime (414514531) and next prime (414514549).

It is a junction number, because it is equal to n+sod(n) for n = 414514499 and 414514508.

It is not an unprimeable number, because it can be changed into a prime (414514549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379395 + ... + 380485.

It is an arithmetic number, because the mean of its divisors is an integer number (13385918).

Almost surely, 2^414514540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481893048).

414514540 is an abundant number, since it is smaller than the sum of its proper divisors (549271556).

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

414514540 is a wasteful number, since it uses less digits than its factorization.

414514540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 414514540 is about 20359.6301538117. The cubic root of 414514540 is about 745.6126306252.

Adding to 414514540 its reverse (45415414), we get a palindrome (459929954).

The spelling of 414514540 in words is "four hundred fourteen million, five hundred fourteen thousand, five hundred forty".