416034 has 24 divisors (see below), whose sum is σ = 933660. Its totient is φ = 133728.

The previous prime is 416023. The next prime is 416071. The reversal of 416034 is 430614.

It can be written as a sum of positive squares in 2 ways, for example, as 416025 + 9 = 645^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 415998 and 416016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 920.

2⁴¹⁶⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

416034 is an abundant number, since it is smaller than the sum of its proper divisors (517626).

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

416034 is a wasteful number, since it uses less digits than its factorization.

416034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 416034 is about 645.0069767065. The cubic root of 416034 is about 74.6522568210.

Adding to 416034 its reverse (430614), we get a palindrome (846648).

The spelling of 416034 in words is "four hundred sixteen thousand, thirty-four".