409242000 has 80 divisors (see below), whose sum is σ = 1319415552. Its totient is φ = 109129600.

The previous prime is 409241999. The next prime is 409242023. The reversal of 409242000 is 242904.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28104 + ... + 40103.

Almost surely, 2^409242000 is an apocalyptic number.

409242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409242000 is an abundant number, since it is smaller than the sum of its proper divisors (910173552).

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

409242000 is a wasteful number, since it uses less digits than its factorization.

409242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68233 (or 68217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 409242000 is about 20229.7305963278. The cubic root of 409242000 is about 742.4377845817.

Adding to 409242000 its reverse (242904), we get a palindrome (409484904).

It can be divided in two parts, 40924 and 2000, that added together give a palindrome (42924).

The spelling of 409242000 in words is "four hundred nine million, two hundred forty-two thousand".