414123052 has 48 divisors (see below), whose sum is σ = 844361280. Its totient is φ = 174062592.

The previous prime is 414123029. The next prime is 414123071. The reversal of 414123052 is 250321414.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340798 + ... + 342010.

It is an arithmetic number, because the mean of its divisors is an integer number (17590860).

Almost surely, 2^414123052 is an apocalyptic number.

It is an amenable number.

414123052 is an abundant number, since it is smaller than the sum of its proper divisors (430238228).

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

414123052 is a wasteful number, since it uses less digits than its factorization.

414123052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414123052 is about 20350.0135626490. The cubic root of 414123052 is about 745.3778255604.

Adding to 414123052 its reverse (250321414), we get a palindrome (664444466).

The spelling of 414123052 in words is "four hundred fourteen million, one hundred twenty-three thousand, fifty-two".