413444250 has 160 divisors (see below), whose sum is σ = 1225203408. Its totient is φ = 103680000.

The previous prime is 413444243. The next prime is 413444257. The reversal of 413444250 is 52444314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413444243) and next prime (413444257).

It can be written as a sum of positive squares in 8 ways, for example, as 826281 + 412617969 = 909^2 + 20313^2 .

It is a super-2 number, since 2×413444250² = 341872295716125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413444257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 343650 + ... + 344850.

Almost surely, 2^413444250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413444250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612601704).

413444250 is an abundant number, since it is smaller than the sum of its proper divisors (811759158).

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

413444250 is a wasteful number, since it uses less digits than its factorization.

413444250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 413444250 is about 20333.3285519120. The cubic root of 413444250 is about 744.9703455007.

Adding to 413444250 its reverse (52444314), we get a palindrome (465888564).

It can be divided in two parts, 4134 and 44250, that added together give a palindrome (48384).

The spelling of 413444250 in words is "four hundred thirteen million, four hundred forty-four thousand, two hundred fifty".