165407424 has 112 divisors (see below), whose sum is σ = 538691328. Its totient is φ = 43619328.

The previous prime is 165407401. The next prime is 165407441. The reversal of 165407424 is 424704561.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12739 + ... + 22205.

It is an arithmetic number, because the mean of its divisors is an integer number (4809744).

Almost surely, 2^165407424 is an apocalyptic number.

165407424 is a gapful number since it is divisible by the number (14) 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 165407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269345664).

165407424 is an abundant number, since it is smaller than the sum of its proper divisors (373283904).

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

165407424 is a wasteful number, since it uses less digits than its factorization.

165407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 165407424 is about 12861.0817585458. The cubic root of 165407424 is about 548.9317269721.

The spelling of 165407424 in words is "one hundred sixty-five million, four hundred seven thousand, four hundred twenty-four".