848251040 has 384 divisors, whose sum is σ = 2743372800. Its totient is φ = 240058368.

The previous prime is 848251031. The next prime is 848251087. The reversal of 848251040 is 40152848.

It is a happy number.

It is a super-2 number, since 2×848251040² = 1439059653722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 848250988 and 848251006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5692886 + ... + 5693034.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^848251040 is an apocalyptic number.

848251040 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 848251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

848251040 is an abundant number, since it is smaller than the sum of its proper divisors (1895121760).

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

848251040 is a wasteful number, since it uses less digits than its factorization.

848251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 848251040 is about 29124.7496126576. The cubic root of 848251040 is about 946.6180913602.

The spelling of 848251040 in words is "eight hundred forty-eight million, two hundred fifty-one thousand, forty".