409853568 has 32 divisors (see below), whose sum is σ = 1088674560. Its totient is φ = 136617728.

The previous prime is 409853497. The next prime is 409853569. The reversal of 409853568 is 865358904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (409853569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533280 + ... + 534047.

It is an arithmetic number, because the mean of its divisors is an integer number (34021080).

Almost surely, 2^409853568 is an apocalyptic number.

409853568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409853568 is an abundant number, since it is smaller than the sum of its proper divisors (678820992).

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

409853568 is a wasteful number, since it uses less digits than its factorization.

409853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067344 (or 1067332 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 409853568 is about 20244.8405278975. The cubic root of 409853568 is about 742.8074315565.

The spelling of 409853568 in words is "four hundred nine million, eight hundred fifty-three thousand, five hundred sixty-eight".