413452144 has 80 divisors (see below), whose sum is σ = 944393920. Its totient is φ = 171694080.

The previous prime is 413452093. The next prime is 413452147. The reversal of 413452144 is 441254314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413452147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498322 + ... + 499150.

It is an arithmetic number, because the mean of its divisors is an integer number (11804924).

Almost surely, 2^413452144 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 413452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472196960).

413452144 is an abundant number, since it is smaller than the sum of its proper divisors (530941776).

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

413452144 is a wasteful number, since it uses less digits than its factorization.

413452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 413452144 is about 20333.5226657852. The cubic root of 413452144 is about 744.9750867756.

The spelling of 413452144 in words is "four hundred thirteen million, four hundred fifty-two thousand, one hundred forty-four".