416352 has 24 divisors (see below), whose sum is σ = 1093176. Its totient is φ = 138752.

The previous prime is 416333. The next prime is 416359. The reversal of 416352 is 253614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 416352.

It is not an unprimeable number, because it can be changed into a prime (416359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2073 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (45549).

2⁴¹⁶³⁵² is an apocalyptic number.

It is an amenable number.

416352 is an abundant number, since it is smaller than the sum of its proper divisors (676824).

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

416352 is a wasteful number, since it uses less digits than its factorization.

416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4342 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 416352 is about 645.2534385805. The cubic root of 416352 is about 74.6712723916.

Adding to 416352 its reverse (253614), we get a palindrome (669966).

The spelling of 416352 in words is "four hundred sixteen thousand, three hundred fifty-two".