165850400 has 72 divisors (see below), whose sum is σ = 406692720. Its totient is φ = 66044160.

The previous prime is 165850369. The next prime is 165850423. The reversal of 165850400 is 4058561.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302927 + ... + 303473.

It is an arithmetic number, because the mean of its divisors is an integer number (5648510).

Almost surely, 2^165850400 is an apocalyptic number.

165850400 is a gapful number since it is divisible by the number (10) 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 165850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203346360).

165850400 is an abundant number, since it is smaller than the sum of its proper divisors (240842320).

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

165850400 is a wasteful number, since it uses less digits than its factorization.

165850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 165850400 is about 12878.2918121931. The cubic root of 165850400 is about 549.4213197321.

The spelling of 165850400 in words is "one hundred sixty-five million, eight hundred fifty thousand, four hundred".