413351300 has 18 divisors (see below), whose sum is σ = 896972538. Its totient is φ = 165340480.

The previous prime is 413351273. The next prime is 413351353. The reversal of 413351300 is 3153314.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 135862336 + 277488964 = 11656^2 + 16658^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2066657 + ... + 2066856.

Almost surely, 2^413351300 is an apocalyptic number.

It is an amenable number.

413351300 is an abundant number, since it is smaller than the sum of its proper divisors (483621238).

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

413351300 is a wasteful number, since it uses less digits than its factorization.

413351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133527 (or 4133520 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 413351300 is about 20331.0427671578. The cubic root of 413351300 is about 744.9145135609.

The spelling of 413351300 in words is "four hundred thirteen million, three hundred fifty-one thousand, three hundred".