414090684 has 96 divisors (see below), whose sum is σ = 1266585600. Its totient is φ = 114488640.

The previous prime is 414090679. The next prime is 414090697. The reversal of 414090684 is 486090414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14602 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (13193600).

Almost surely, 2^414090684 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 414090684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633292800).

414090684 is an abundant number, since it is smaller than the sum of its proper divisors (852494916).

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

414090684 is a wasteful number, since it uses less digits than its factorization.

414090684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 414090684 is about 20349.2182650833. The cubic root of 414090684 is about 745.3584053921.

The spelling of 414090684 in words is "four hundred fourteen million, ninety thousand, six hundred eighty-four".