165401456 has 40 divisors (see below), whose sum is σ = 352905984. Its totient is φ = 74471360.

The previous prime is 165401447. The next prime is 165401491. The reversal of 165401456 is 654104561.

165401456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14441 + ... + 23223.

Almost surely, 2^165401456 is an apocalyptic number.

165401456 is a gapful number since it is divisible by the number (16) 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 165401456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176452992).

165401456 is an abundant number, since it is smaller than the sum of its proper divisors (187504528).

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

165401456 is a wasteful number, since it uses less digits than its factorization.

165401456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 165401456 is about 12860.8497386448. The cubic root of 165401456 is about 548.9251249630.

The spelling of 165401456 in words is "one hundred sixty-five million, four hundred one thousand, four hundred fifty-six".