414134520 has 64 divisors (see below), whose sum is σ = 1245676320. Its totient is φ = 110145024.

The previous prime is 414134519. The next prime is 414134521. The reversal of 414134520 is 25431414.

It is an interprime number because it is at equal distance from previous prime (414134519) and next prime (414134521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414134521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43294 + ... + 51986.

Almost surely, 2^414134520 is an apocalyptic number.

414134520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414134520 is an abundant number, since it is smaller than the sum of its proper divisors (831541800).

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

414134520 is a wasteful number, since it uses less digits than its factorization.

414134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414134520 is about 20350.2953295523. The cubic root of 414134520 is about 745.3847058938.

Adding to 414134520 its reverse (25431414), we get a palindrome (439565934).

The spelling of 414134520 in words is "four hundred fourteen million, one hundred thirty-four thousand, five hundred twenty".