414264 has 32 divisors (see below), whose sum is σ = 1063440. Its totient is φ = 134400.

The previous prime is 414259. The next prime is 414269. The reversal of 414264 is 462414.

It is an interprime number because it is at equal distance from previous prime (414259) and next prime (414269).

It is a super-2 number, since 2×414264² = 343229323392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414264.

It is a congruent number.

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

414264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1194.

2⁴¹⁴²⁶⁴ 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 414264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531720).

414264 is an abundant number, since it is smaller than the sum of its proper divisors (649176).

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

414264 is a wasteful number, since it uses less digits than its factorization.

414264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 414264 is about 643.6334360488. The cubic root of 414264 is about 74.5462379814.

Adding to 414264 its reverse (462414), we get a palindrome (876678).

The spelling of 414264 in words is "four hundred fourteen thousand, two hundred sixty-four".