409390848 has 108 divisors (see below), whose sum is σ = 1224278328. Its totient is φ = 136442880.

The previous prime is 409390847. The next prime is 409390871. The reversal of 409390848 is 848093904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409390841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58918 + ... + 65498.

Almost surely, 2^409390848 is an apocalyptic number.

409390848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612139164).

409390848 is an abundant number, since it is smaller than the sum of its proper divisors (814887480).

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

409390848 is an frugal number, since it uses more digits than its factorization.

409390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 409390848 is about 20233.4092035920. The cubic root of 409390848 is about 742.5277859207.

The spelling of 409390848 in words is "four hundred nine million, three hundred ninety thousand, eight hundred forty-eight".