413230272 has 224 divisors, whose sum is σ = 1369600512. Its totient is φ = 107053056.

The previous prime is 413230253. The next prime is 413230273. The reversal of 413230272 is 272032314.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (413230273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170448 + ... + 1170800.

It is an arithmetic number, because the mean of its divisors is an integer number (6114288).

Almost surely, 2^413230272 is an apocalyptic number.

413230272 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 413230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684800256).

413230272 is an abundant number, since it is smaller than the sum of its proper divisors (956370240).

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

413230272 is a wasteful number, since it uses less digits than its factorization.

413230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 413230272 is about 20328.0661155950. The cubic root of 413230272 is about 744.8418035648.

Adding to 413230272 its reverse (272032314), we get a palindrome (685262586).

The spelling of 413230272 in words is "four hundred thirteen million, two hundred thirty thousand, two hundred seventy-two".