414010452 has 48 divisors (see below), whose sum is σ = 1028849472. Its totient is φ = 129123840.

The previous prime is 414010403. The next prime is 414010463. The reversal of 414010452 is 254010414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29427 + ... + 41157.

It is an arithmetic number, because the mean of its divisors is an integer number (21434364).

Almost surely, 2^414010452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414010452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514424736).

414010452 is an abundant number, since it is smaller than the sum of its proper divisors (614839020).

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

414010452 is a wasteful number, since it uses less digits than its factorization.

414010452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 414010452 is about 20347.2467916424. The cubic root of 414010452 is about 745.3102633944.

Adding to 414010452 its reverse (254010414), we get a palindrome (668020866).

The spelling of 414010452 in words is "four hundred fourteen million, ten thousand, four hundred fifty-two".