413280680 has 16 divisors (see below), whose sum is σ = 929881620. Its totient is φ = 165312256.

The previous prime is 413280671. The next prime is 413280683. The reversal of 413280680 is 86082314.

It can be written as a sum of positive squares in 2 ways, for example, as 408929284 + 4351396 = 20222^2 + 2086^2 .

It is a super-2 number, since 2×413280680² = 341601840922524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413280683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5165969 + ... + 5166048.

Almost surely, 2^413280680 is an apocalyptic number.

413280680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413280680 is an abundant number, since it is smaller than the sum of its proper divisors (516600940).

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

413280680 is a wasteful number, since it uses less digits than its factorization.

413280680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332028 (or 10332024 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 413280680 is about 20329.3059399479. The cubic root of 413280680 is about 744.8720889057.

The spelling of 413280680 in words is "four hundred thirteen million, two hundred eighty thousand, six hundred eighty".