414752 has 24 divisors (see below), whose sum is σ = 880236. Its totient is φ = 191232.

The previous prime is 414737. The next prime is 414763. The reversal of 414752 is 257414.

414752 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 2 ways, for example, as 414736 + 16 = 644^2 + 4^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 914.

2⁴¹⁴⁷⁵² is an apocalyptic number.

It is an amenable number.

414752 is an abundant number, since it is smaller than the sum of its proper divisors (465484).

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

414752 is a wasteful number, since it uses less digits than its factorization.

414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 414752 is about 644.0124222404. The cubic root of 414752 is about 74.5754981383.

The spelling of 414752 in words is "four hundred fourteen thousand, seven hundred fifty-two".