413752 has 8 divisors (see below), whose sum is σ = 775800. Its totient is φ = 206872.

The previous prime is 413737. The next prime is 413753. The reversal of 413752 is 257314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413753) by changing a digit.

413752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25852 + ... + 25867.

It is an arithmetic number, because the mean of its divisors is an integer number (96975).

2⁴¹³⁷⁵² is an apocalyptic number.

It is an amenable number.

413752 is a deficient number, since it is larger than the sum of its proper divisors (362048).

413752 is a wasteful number, since it uses less digits than its factorization.

413752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51725 (or 51721 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 413752 is about 643.2355711557. The cubic root of 413752 is about 74.5155140881.

The spelling of 413752 in words is "four hundred thirteen thousand, seven hundred fifty-two".