414645104 has 40 divisors (see below), whose sum is σ = 841231872. Its totient is φ = 197616320.

The previous prime is 414645089. The next prime is 414645109. The reversal of 414645104 is 401546414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414645109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112637 + ... + 116259.

Almost surely, 2^414645104 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 414645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420615936).

414645104 is an abundant number, since it is smaller than the sum of its proper divisors (426586768).

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

414645104 is a wasteful number, since it uses less digits than its factorization.

414645104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 414645104 is about 20362.8363446746. The cubic root of 414645104 is about 745.6909068887.

The spelling of 414645104 in words is "four hundred fourteen million, six hundred forty-five thousand, one hundred four".