85380450 has 48 divisors (see below), whose sum is σ = 216923616. Its totient is φ = 22211200.

The previous prime is 85380401. The next prime is 85380461. The reversal of 85380450 is 5408358.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (4519242).

Almost surely, 2^85380450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85380450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108461808).

85380450 is an abundant number, since it is smaller than the sum of its proper divisors (131543166).

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

85380450 is a wasteful number, since it uses less digits than its factorization.

85380450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85380450 is about 9240.1542194922. The cubic root of 85380450 is about 440.3379806759.

The spelling of 85380450 in words is "eighty-five million, three hundred eighty thousand, four hundred fifty".