413351240 has 32 divisors (see below), whose sum is σ = 947593080. Its totient is φ = 162220032.

The previous prime is 413351233. The next prime is 413351273. The reversal of 413351240 is 42153314.

It can be written as a sum of positive squares in 4 ways, for example, as 400720324 + 12630916 = 20018^2 + 3554^2 .

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 7 ways as a sum of consecutive naturals, for example, 95369 + ... + 99608.

Almost surely, 2^413351240 is an apocalyptic number.

413351240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413351240 is an abundant number, since it is smaller than the sum of its proper divisors (534241840).

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

413351240 is a wasteful number, since it uses less digits than its factorization.

413351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195041 (or 195037 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 413351240 is about 20331.0412915817. The cubic root of 413351240 is about 744.9144775182.

The spelling of 413351240 in words is "four hundred thirteen million, three hundred fifty-one thousand, two hundred forty".