414460 has 48 divisors (see below), whose sum is σ = 979776. Its totient is φ = 146432.

The previous prime is 414457. The next prime is 414461. The reversal of 414460 is 64414.

414460 = T₁₅₁ + T₁₅₂ + ... + T₁₈₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7794 + ... + 7846.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁴¹⁴⁴⁶⁰ 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 414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888).

414460 is an abundant number, since it is smaller than the sum of its proper divisors (565316).

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

414460 is a wasteful number, since it uses less digits than its factorization.

414460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414460 is about 643.7856786229. The cubic root of 414460 is about 74.5579927714.

Adding to 414460 its reverse (64414), we get a palindrome (478874).

The spelling of 414460 in words is "four hundred fourteen thousand, four hundred sixty".