414352 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 185472.

The previous prime is 414347. The next prime is 414361. The reversal of 414352 is 253414.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable 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 in 7 ways as a sum of consecutive naturals, for example, 8793 + ... + 8839.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁴¹⁴³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

414352 is an abundant number, since it is smaller than the sum of its proper divisors (478448).

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

414352 is a wasteful number, since it uses less digits than its factorization.

414352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 414352 is about 643.7017943116. The cubic root of 414352 is about 74.5515161008.

Adding to 414352 its reverse (253414), we get a palindrome (667766).

The spelling of 414352 in words is "four hundred fourteen thousand, three hundred fifty-two".