413220672 has 42 divisors (see below), whose sum is σ = 1184424098. Its totient is φ = 137740032.

The previous prime is 413220667. The next prime is 413220677. The reversal of 413220672 is 276022314.

It is an interprime number because it is at equal distance from previous prime (413220667) and next prime (413220677).

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 968256 = 20304^2 + 984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413220677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358123 + ... + 359274.

Almost surely, 2^413220672 is an apocalyptic number.

It is an amenable number.

413220672 is an abundant number, since it is smaller than the sum of its proper divisors (771203426).

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

413220672 is a wasteful number, since it uses less digits than its factorization.

413220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717415 (or 717402 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413220672 is about 20327.8299874827. The cubic root of 413220672 is about 744.8360355647.

Adding to 413220672 its reverse (276022314), we get a palindrome (689242986).

The spelling of 413220672 in words is "four hundred thirteen million, two hundred twenty thousand, six hundred seventy-two".