413165280 has 192 divisors, whose sum is σ = 1503629568. Its totient is φ = 94248960.

The previous prime is 413165251. The next prime is 413165281. The reversal of 413165280 is 82561314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413165281) 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 31 ways as a sum of consecutive naturals, for example, 87459 + ... + 92061.

It is an arithmetic number, because the mean of its divisors is an integer number (7831404).

Almost surely, 2^413165280 is an apocalyptic number.

413165280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751814784).

413165280 is an abundant number, since it is smaller than the sum of its proper divisors (1090464288).

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

413165280 is a wasteful number, since it uses less digits than its factorization.

413165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 413165280 is about 20326.4674746991. The cubic root of 413165280 is about 744.8027524595.

The spelling of 413165280 in words is "four hundred thirteen million, one hundred sixty-five thousand, two hundred eighty".