416052 has 72 divisors (see below), whose sum is σ = 1304576. Its totient is φ = 108864.

The previous prime is 416023. The next prime is 416071. The reversal of 416052 is 250614.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416052.

It is an unprimeable number.

416052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3213 + ... + 3339.

2⁴¹⁶⁰⁵² is an apocalyptic number.

416052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652288).

416052 is an abundant number, since it is smaller than the sum of its proper divisors (888524).

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

416052 is a wasteful number, since it uses less digits than its factorization.

416052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 416052 is about 645.0209298930. The cubic root of 416052 is about 74.6533334327.

Adding to 416052 its reverse (250614), we get a palindrome (666666).

The spelling of 416052 in words is "four hundred sixteen thousand, fifty-two".