416325 has 48 divisors (see below), whose sum is σ = 861056. Its totient is φ = 172800.

The previous prime is 416291. The next prime is 416333. The reversal of 416325 is 523614.

416325 = T₈₅ + T₈₆ + ... + T₁₄₅.

It is a happy number.

It is not a de Polignac number, because 416325 - 2¹¹ = 414277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 4 + 1 + 3⁷ + 6⁷ + 2¹⁷ + 5⁵ .

It is an alternating number because its digits alternate between even and odd.

416325 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6795 + ... + 6855.

2⁴¹⁶³²⁵ is an apocalyptic number.

It is an amenable number.

416325 is an abundant number, since it is smaller than the sum of its proper divisors (444731).

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

416325 is a wasteful number, since it uses less digits than its factorization.

416325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

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

The square root of 416325 is about 645.2325162296. The cubic root of 416325 is about 74.6696582383.

Adding to 416325 its reverse (523614), we get a palindrome (939939).

It can be divided in two parts, 416 and 325, that added together give a triangular number (741 = T₃₈).

The spelling of 416325 in words is "four hundred sixteen thousand, three hundred twenty-five".