165401460 has 384 divisors, whose sum is σ = 645120000. Its totient is φ = 35054208.

The previous prime is 165401447. The next prime is 165401491. The reversal of 165401460 is 64104561.

165401460 is a `hidden beast` number, since 1 + 654 + 0 + 1 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3519157 + ... + 3519203.

It is an arithmetic number, because the mean of its divisors is an integer number (1680000).

Almost surely, 2^165401460 is an apocalyptic number.

165401460 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 165401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

165401460 is an abundant number, since it is smaller than the sum of its proper divisors (479718540).

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

165401460 is a wasteful number, since it uses less digits than its factorization.

165401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165401460 is about 12860.8498941555. The cubic root of 165401460 is about 548.9251293880.

The spelling of 165401460 in words is "one hundred sixty-five million, four hundred one thousand, four hundred sixty".