413112252 has 96 divisors (see below), whose sum is σ = 1150481920. Its totient is φ = 112907520.

The previous prime is 413112239. The next prime is 413112283. The reversal of 413112252 is 252211314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188499 + ... + 190677.

Almost surely, 2^413112252 is an apocalyptic number.

413112252 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 413112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575240960).

413112252 is an abundant number, since it is smaller than the sum of its proper divisors (737369668).

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

413112252 is a wasteful number, since it uses less digits than its factorization.

413112252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 413112252 is about 20325.1630251765. The cubic root of 413112252 is about 744.7708870115.

Adding to 413112252 its reverse (252211314), we get a palindrome (665323566).

The spelling of 413112252 in words is "four hundred thirteen million, one hundred twelve thousand, two hundred fifty-two".