900857856 has 144 divisors (see below), whose sum is σ = 2516572800. Its totient is φ = 286261248.

The previous prime is 900857851. The next prime is 900857857. The reversal of 900857856 is 658758009.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900857851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11403225 + ... + 11403303.

It is an arithmetic number, because the mean of its divisors is an integer number (17476200).

Almost surely, 2^900857856 is an apocalyptic number.

900857856 is a gapful number since it is divisible by the number (96) 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 900857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258286400).

900857856 is an abundant number, since it is smaller than the sum of its proper divisors (1615714944).

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

900857856 is an frugal number, since it uses more digits than its factorization.

900857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 900857856 is about 30014.2941946000. The cubic root of 900857856 is about 965.7960467705.

The spelling of 900857856 in words is "nine hundred million, eight hundred fifty-seven thousand, eight hundred fifty-six".