414260 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 128640.

The previous prime is 414259. The next prime is 414269. The reversal of 414260 is 62414.

414260 = T₃₁ + T₃₂ + ... + T₁₃₅.

It is a super-2 number, since 2×414260² = 343222695200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414260.

It is not an unprimeable number, because it can be changed into a prime (414269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴¹⁴²⁶⁰ 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 414260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

414260 is an abundant number, since it is smaller than the sum of its proper divisors (674380).

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

414260 is a wasteful number, since it uses less digits than its factorization.

414260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 414260 is about 643.6303286825. The cubic root of 414260 is about 74.5459980491.

Adding to 414260 its reverse (62414), we get a palindrome (476674).

The spelling of 414260 in words is "four hundred fourteen thousand, two hundred sixty".