848409408 has 504 divisors, whose sum is σ = 3204155136. Its totient is φ = 209848320.

The previous prime is 848409383. The next prime is 848409467. The reversal of 848409408 is 804904848.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18051241 + ... + 18051287.

Almost surely, 2^848409408 is an apocalyptic number.

848409408 is a gapful number since it is divisible by the number (88) 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 848409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602077568).

848409408 is an abundant number, since it is smaller than the sum of its proper divisors (2355745728).

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

848409408 is a wasteful number, since it uses less digits than its factorization.

848409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 848409408 is about 29127.4682730923. The cubic root of 848409408 is about 946.6769987190.

The spelling of 848409408 in words is "eight hundred forty-eight million, four hundred nine thousand, four hundred eight".