414952 has 8 divisors (see below), whose sum is σ = 778050. Its totient is φ = 207472.

The previous prime is 414949. The next prime is 414959. The reversal of 414952 is 259414.

414952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 12996 = 634^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (414959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25927 + ... + 25942.

2⁴¹⁴⁹⁵² is an apocalyptic number.

It is an amenable number.

414952 is a deficient number, since it is larger than the sum of its proper divisors (363098).

414952 is a wasteful number, since it uses less digits than its factorization.

414952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51875 (or 51871 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 414952 is about 644.1676800337. The cubic root of 414952 is about 74.5874833751.

The spelling of 414952 in words is "four hundred fourteen thousand, nine hundred fifty-two".