416394 has 32 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 126000.

The previous prime is 416393. The next prime is 416399. The reversal of 416394 is 493614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (416393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2⁴¹⁶³⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440).

416394 is an abundant number, since it is smaller than the sum of its proper divisors (594486).

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

416394 is a wasteful number, since it uses less digits than its factorization.

416394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 416394 is about 645.2859831114. The cubic root of 416394 is about 74.6737831582.

The spelling of 416394 in words is "four hundred sixteen thousand, three hundred ninety-four".