848400 has 120 divisors (see below), whose sum is σ = 3136704. Its totient is φ = 192000.

The previous prime is 848399. The next prime is 848417. The reversal of 848400 is 4848.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8350 + ... + 8450.

2⁸⁴⁸⁴⁰⁰ is an apocalyptic number.

848400 is a gapful number since it is divisible by the number (80) 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 848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568352).

848400 is an abundant number, since it is smaller than the sum of its proper divisors (2288304).

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

848400 is a wasteful number, since it uses less digits than its factorization.

848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 848400 is about 921.0863151736. The cubic root of 848400 is about 94.6673499477.

It can be divided in two parts, 84 and 8400, that multiplied together give a square (705600 = 840²).

The spelling of 848400 in words is "eight hundred forty-eight thousand, four hundred".