413250 has 64 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 100800.

The previous prime is 413243. The next prime is 413251. The reversal of 413250 is 52314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413251) by changing a digit.

413250 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 31 ways as a sum of consecutive naturals, for example, 14236 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁴¹³²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

413250 is an abundant number, since it is smaller than the sum of its proper divisors (709950).

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

413250 is a wasteful number, since it uses less digits than its factorization.

413250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 413250 is about 642.8452379850. The cubic root of 413250 is about 74.4853656524.

Adding to 413250 its reverse (52314), we get a palindrome (465564).

The spelling of 413250 in words is "four hundred thirteen thousand, two hundred fifty".