414440520 has 128 divisors (see below), whose sum is σ = 1348704000. Its totient is φ = 101274624.

The previous prime is 414440459. The next prime is 414440531. The reversal of 414440520 is 25044414.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231549 + ... + 233331.

It is an arithmetic number, because the mean of its divisors is an integer number (10536750).

Almost surely, 2^414440520 is an apocalyptic number.

414440520 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 414440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674352000).

414440520 is an abundant number, since it is smaller than the sum of its proper divisors (934263480).

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

414440520 is a wasteful number, since it uses less digits than its factorization.

414440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 414440520 is about 20357.8122596707. The cubic root of 414440520 is about 745.5682465509.

Adding to 414440520 its reverse (25044414), we get a palindrome (439484934).

The spelling of 414440520 in words is "four hundred fourteen million, four hundred forty thousand, five hundred twenty".