409988 has 6 divisors (see below), whose sum is σ = 717486. Its totient is φ = 204992.

The previous prime is 409987. The next prime is 409993. The reversal of 409988 is 889904.

It can be written as a sum of positive squares in only one way, i.e., 386884 + 23104 = 622^2 + 152^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409988.

It is not an unprimeable number, because it can be changed into a prime (409987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51245 + ... + 51252.

It is an arithmetic number, because the mean of its divisors is an integer number (119581).

2⁴⁰⁹⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

409988 is a deficient number, since it is larger than the sum of its proper divisors (307498).

409988 is a wasteful number, since it uses less digits than its factorization.

409988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102501 (or 102499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 409988 is about 640.3030532490. The cubic root of 409988 is about 74.2888636309.

The spelling of 409988 in words is "four hundred nine thousand, nine hundred eighty-eight".