414081954 has 96 divisors (see below), whose sum is σ = 1116146304. Its totient is φ = 109002240.

The previous prime is 414081947. The next prime is 414082007. The reversal of 414081954 is 459180414.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39027 + ... + 48489.

It is an arithmetic number, because the mean of its divisors is an integer number (11626524).

Almost surely, 2^414081954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414081954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558073152).

414081954 is an abundant number, since it is smaller than the sum of its proper divisors (702064350).

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

414081954 is a wasteful number, since it uses less digits than its factorization.

414081954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 414081954 is about 20349.0037593981. The cubic root of 414081954 is about 745.3531673892.

The spelling of 414081954 in words is "four hundred fourteen million, eighty-one thousand, nine hundred fifty-four".