413021320 has 32 divisors (see below), whose sum is σ = 938508120. Its totient is φ = 163571200.

The previous prime is 413021303. The next prime is 413021333. The reversal of 413021320 is 23120314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 398321764 + 14699556 = 19958^2 + 3834^2 .

It is a super-3 number, since 3×413021320³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 413021294 and 413021303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47077 + ... + 55156.

Almost surely, 2^413021320 is an apocalyptic number.

413021320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021320 is an abundant number, since it is smaller than the sum of its proper divisors (525486800).

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

413021320 is a wasteful number, since it uses less digits than its factorization.

413021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102345 (or 102341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413021320 is about 20322.9259704404. The cubic root of 413021320 is about 744.7162380426.

Adding to 413021320 its reverse (23120314), we get a palindrome (436141634).

The spelling of 413021320 in words is "four hundred thirteen million, twenty-one thousand, three hundred twenty".