414320 has 20 divisors (see below), whose sum is σ = 963480. Its totient is φ = 165696.

The previous prime is 414313. The next prime is 414329. The reversal of 414320 is 23414.

414320 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×414320² = 343322124800, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 414295 and 414304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414329) 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, 2510 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2⁴¹⁴³²⁰ is an apocalyptic number.

414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414320 is an abundant number, since it is smaller than the sum of its proper divisors (549160).

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

414320 is a wasteful number, since it uses less digits than its factorization.

414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 414320 is about 643.6769376015. The cubic root of 414320 is about 74.5495968711.

Adding to 414320 its reverse (23414), we get a palindrome (437734).

The spelling of 414320 in words is "four hundred fourteen thousand, three hundred twenty", and thus it is an iban number.