850248000 has 504 divisors, whose sum is σ = 3552727464. Its totient is φ = 193536000.

The previous prime is 850247963. The next prime is 850248011. The reversal of 850248000 is 842058.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 844716096 = 2352^2 + 29064^2 .

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, 3527880 + ... + 3528120.

Almost surely, 2^850248000 is an apocalyptic number.

850248000 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 850248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776363732).

850248000 is an abundant number, since it is smaller than the sum of its proper divisors (2702479464).

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

850248000 is a wasteful number, since it uses less digits than its factorization.

850248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 850248000 is about 29159.0123289524. The cubic root of 850248000 is about 947.3603547071.

The spelling of 850248000 in words is "eight hundred fifty million, two hundred forty-eight thousand".