414112520 has 32 divisors (see below), whose sum is σ = 986563800. Its totient is φ = 155900928.

The previous prime is 414112513. The next prime is 414112529. The reversal of 414112520 is 25211414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 252364996 + 161747524 = 15886^2 + 12718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414112492 and 414112501.

It is not an unprimeable number, because it can be changed into a prime (414112529) 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, 303815 + ... + 305174.

Almost surely, 2^414112520 is an apocalyptic number.

414112520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414112520 is an abundant number, since it is smaller than the sum of its proper divisors (572451280).

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

414112520 is a wasteful number, since it uses less digits than its factorization.

414112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609017 (or 609013 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 414112520 is about 20349.7547896774. The cubic root of 414112520 is about 745.3715066770.

Adding to 414112520 its reverse (25211414), we get a palindrome (439323934).

It can be divided in two parts, 4141 and 12520, that added together give a palindrome (16661).

The spelling of 414112520 in words is "four hundred fourteen million, one hundred twelve thousand, five hundred twenty".