165494400 has 96 divisors (see below), whose sum is σ = 545128800. Its totient is φ = 44129280.

The previous prime is 165494393. The next prime is 165494423. The reversal of 165494400 is 4494561.

165494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 981 + ... + 18219.

It is an arithmetic number, because the mean of its divisors is an integer number (5678425).

Almost surely, 2^165494400 is an apocalyptic number.

165494400 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 165494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272564400).

165494400 is an abundant number, since it is smaller than the sum of its proper divisors (379634400).

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

165494400 is a wasteful number, since it uses less digits than its factorization.

165494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17266 (or 17249 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 165494400 is about 12864.4626782466. The cubic root of 165494400 is about 549.0279248307.

The spelling of 165494400 in words is "one hundred sixty-five million, four hundred ninety-four thousand, four hundred".