414640 has 40 divisors (see below), whose sum is σ = 991008. Its totient is φ = 161280.

The previous prime is 414629. The next prime is 414641. The reversal of 414640 is 46414.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (414641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5644 + ... + 5716.

2⁴¹⁴⁶⁴⁰ is an apocalyptic number.

414640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495504).

414640 is an abundant number, since it is smaller than the sum of its proper divisors (576368).

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

414640 is a wasteful number, since it uses less digits than its factorization.

414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

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

The square root of 414640 is about 643.9254615249. The cubic root of 414640 is about 74.5687847226.

It can be divided in two parts, 4146 and 40, that added together give a triangular number (4186 = T₉₁).

The spelling of 414640 in words is "four hundred fourteen thousand, six hundred forty".