850400370 has 224 divisors, whose sum is σ = 2447760384. Its totient is φ = 212284800.

The previous prime is 850400359. The next prime is 850400377. The reversal of 850400370 is 73004058.

It is a super-2 number, since 2×850400370² = 1446361578592273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (850400377) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11977435 + ... + 11977505.

Almost surely, 2^850400370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850400370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223880192).

850400370 is an abundant number, since it is smaller than the sum of its proper divisors (1597360014).

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

850400370 is a wasteful number, since it uses less digits than its factorization.

850400370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 850400370 is about 29161.6249547243. The cubic root of 850400370 is about 947.4169423833.

The spelling of 850400370 in words is "eight hundred fifty million, four hundred thousand, three hundred seventy".