414054 has 12 divisors (see below), whose sum is σ = 897156. Its totient is φ = 138012.

The previous prime is 414053. The next prime is 414061. The reversal of 414054 is 450414.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23003 = 414054 / (4 + 1 + 4 + 0 + 5 + 4).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11484 + ... + 11519.

It is an arithmetic number, because the mean of its divisors is an integer number (74763).

2⁴¹⁴⁰⁵⁴ is an apocalyptic number.

414054 is an abundant number, since it is smaller than the sum of its proper divisors (483102).

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

414054 is a wasteful number, since it uses less digits than its factorization.

414054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23011 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 414054 is about 643.4702790339. The cubic root of 414054 is about 74.5336394485.

Adding to 414054 its reverse (450414), we get a palindrome (864468).

It can be divided in two parts, 41 and 4054, that added together give a triangular number (4095 = T₉₀).

The spelling of 414054 in words is "four hundred fourteen thousand, fifty-four".