414325520 has 80 divisors (see below), whose sum is σ = 1105310208. Its totient is φ = 141488640.

The previous prime is 414325517. The next prime is 414325529. The reversal of 414325520 is 25523414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 414325520.

It is not an unprimeable number, because it can be changed into a prime (414325529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153785 + ... + 156455.

Almost surely, 2^414325520 is an apocalyptic number.

414325520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552655104).

414325520 is an abundant number, since it is smaller than the sum of its proper divisors (690984688).

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

414325520 is a wasteful number, since it uses less digits than its factorization.

414325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 414325520 is about 20354.9875951817. The cubic root of 414325520 is about 745.4992794528.

Adding to 414325520 its reverse (25523414), we get a palindrome (439848934).

The spelling of 414325520 in words is "four hundred fourteen million, three hundred twenty-five thousand, five hundred twenty".