413577252 has 144 divisors (see below), whose sum is σ = 1209341952. Its totient is φ = 122510880.

The previous prime is 413577247. The next prime is 413577253. The reversal of 413577252 is 252775314.

It is a super-2 number, since 2×413577252² = 342092286743743008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413577253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502113 + ... + 502935.

It is an arithmetic number, because the mean of its divisors is an integer number (8398208).

Almost surely, 2^413577252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413577252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604670976).

413577252 is an abundant number, since it is smaller than the sum of its proper divisors (795764700).

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

413577252 is a wasteful number, since it uses less digits than its factorization.

413577252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 413577252 is about 20336.5988306796. The cubic root of 413577252 is about 745.0502207786.

The spelling of 413577252 in words is "four hundred thirteen million, five hundred seventy-seven thousand, two hundred fifty-two".