165792480 has 384 divisors, whose sum is σ = 653184000. Its totient is φ = 35223552.

The previous prime is 165792467. The next prime is 165792503. The reversal of 165792480 is 84297561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3128134 + ... + 3128186.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^165792480 is an apocalyptic number.

165792480 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 165792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

165792480 is an abundant number, since it is smaller than the sum of its proper divisors (487391520).

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

165792480 is a wasteful number, since it uses less digits than its factorization.

165792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 165792480 is about 12876.0428703853. The cubic root of 165792480 is about 549.3573540779.

The spelling of 165792480 in words is "one hundred sixty-five million, seven hundred ninety-two thousand, four hundred eighty".