413342240 has 24 divisors (see below), whose sum is σ = 976521420. Its totient is φ = 165336832.

The previous prime is 413342239. The next prime is 413342261. The reversal of 413342240 is 42243314.

It can be written as a sum of positive squares in 2 ways, for example, as 411116176 + 2226064 = 20276^2 + 1492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291535 + ... + 1291854.

Almost surely, 2^413342240 is an apocalyptic number.

413342240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413342240 is an abundant number, since it is smaller than the sum of its proper divisors (563179180).

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

413342240 is a wasteful number, since it uses less digits than its factorization.

413342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583404 (or 2583396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 413342240 is about 20330.8199539517. The cubic root of 413342240 is about 744.9090710758.

Adding to 413342240 its reverse (42243314), we get a palindrome (455585554).

The spelling of 413342240 in words is "four hundred thirteen million, three hundred forty-two thousand, two hundred forty".