414052 has 12 divisors (see below), whose sum is σ = 767340. Its totient is φ = 194816.

The previous prime is 414049. The next prime is 414053. The reversal of 414052 is 250414.

414052 = T₄₅₃ + T₄₅₄ + ... + T₄₅₆.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 206116 = 456^2 + 454^2 .

It is not an unprimeable number, because it can be changed into a prime (414053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2977 + ... + 3112.

It is an arithmetic number, because the mean of its divisors is an integer number (63945).

2⁴¹⁴⁰⁵² is an apocalyptic number.

It is an amenable number.

414052 is a deficient number, since it is larger than the sum of its proper divisors (353288).

414052 is a wasteful number, since it uses less digits than its factorization.

414052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 414052 is about 643.4687249587. The cubic root of 414052 is about 74.5335194420.

Adding to 414052 its reverse (250414), we get a palindrome (664466).

The spelling of 414052 in words is "four hundred fourteen thousand, fifty-two".