413010431300 has 36 divisors (see below), whose sum is σ = 897841792260. Its totient is φ = 164907553920.

The previous prime is 413010431263. The next prime is 413010431329. The reversal of 413010431300 is 3134010314.

It can be written as a sum of positive squares in 6 ways, for example, as 150209536 + 412860221764 = 12256^2 + 642542^2 .

It is a super-2 number, since 2×413010431300² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3651755 + ... + 3763154.

It is an arithmetic number, because the mean of its divisors is an integer number (24940049785).

Almost surely, 2^413010431300 is an apocalyptic number.

It is an amenable number.

413010431300 is an abundant number, since it is smaller than the sum of its proper divisors (484831360960).

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

413010431300 is a wasteful number, since it uses less digits than its factorization.

413010431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415480 (or 7415473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413010431300 its reverse (3134010314), we get a palindrome (416144441614).

The spelling of 413010431300 in words is "four hundred thirteen billion, ten million, four hundred thirty-one thousand, three hundred".