416904 has 32 divisors (see below), whose sum is σ = 1080000. Its totient is φ = 133952.

The previous prime is 416887. The next prime is 416947. The reversal of 416904 is 409614.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2⁴¹⁶⁹⁰⁴ 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 416904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540000).

416904 is an abundant number, since it is smaller than the sum of its proper divisors (663096).

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

416904 is a wasteful number, since it uses less digits than its factorization.

416904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 416904 is about 645.6810358064. The cubic root of 416904 is about 74.7042575740.

416904 divided by its sum of digits (24) gives a palindrome (17371).

The spelling of 416904 in words is "four hundred sixteen thousand, nine hundred four".