410980280 has 32 divisors (see below), whose sum is σ = 927707040. Its totient is φ = 163858560.

The previous prime is 410980247. The next prime is 410980289. The reversal of 410980280 is 82089014.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410980289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4079 + ... + 28958.

It is an arithmetic number, because the mean of its divisors is an integer number (28990845).

Almost surely, 2^410980280 is an apocalyptic number.

410980280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410980280 is an abundant number, since it is smaller than the sum of its proper divisors (516726760).

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

410980280 is a wasteful number, since it uses less digits than its factorization.

410980280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33359 (or 33355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 410980280 is about 20272.6485689463. The cubic root of 410980280 is about 743.4874828054.

The spelling of 410980280 in words is "four hundred ten million, nine hundred eighty thousand, two hundred eighty".