410988 has 24 divisors (see below), whose sum is σ = 992880. Its totient is φ = 132160.

The previous prime is 410983. The next prime is 410999. The reversal of 410988 is 889014.

It is a happy number.

It is a super-2 number, since 2×410988² = 337822272288, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 410988.

It is not an unprimeable number, because it can be changed into a prime (410983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (41370).

2⁴¹⁰⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

410988 is an abundant number, since it is smaller than the sum of its proper divisors (581892).

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

410988 is a wasteful number, since it uses less digits than its factorization.

410988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 410988 is about 641.0834579054. The cubic root of 410988 is about 74.3492138088.

The spelling of 410988 in words is "four hundred ten thousand, nine hundred eighty-eight".