414113024 has 36 divisors (see below), whose sum is σ = 890200836. Its totient is φ = 191127552.

The previous prime is 414113017. The next prime is 414113027. The reversal of 414113024 is 420311414.

It can be written as a sum of positive squares in 2 ways, for example, as 261145600 + 152967424 = 16160^2 + 12368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414112987 and 414113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414113027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58889 + ... + 65544.

It is an arithmetic number, because the mean of its divisors is an integer number (24727801).

Almost surely, 2^414113024 is an apocalyptic number.

It is an amenable number.

414113024 is an abundant number, since it is smaller than the sum of its proper divisors (476087812).

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

414113024 is a wasteful number, since it uses less digits than its factorization.

414113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124462 (or 124448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414113024 is about 20349.7671731153. The cubic root of 414113024 is about 745.3718090643.

Adding to 414113024 its reverse (420311414), we get a palindrome (834424438).

The spelling of 414113024 in words is "four hundred fourteen million, one hundred thirteen thousand, twenty-four".