165455400 has 288 divisors, whose sum is σ = 587774880. Its totient is φ = 38438400.

The previous prime is 165455393. The next prime is 165455413. The reversal of 165455400 is 4554561.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 3121774 + ... + 3121826.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2^165455400 is an apocalyptic number.

165455400 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 165455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

165455400 is an abundant number, since it is smaller than the sum of its proper divisors (422319480).

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

165455400 is a wasteful number, since it uses less digits than its factorization.

165455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 165455400 is about 12862.9467852433. The cubic root of 165455400 is about 548.9847939226.

It can be divided in two parts, 16545 and 5400, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 165455400 in words is "one hundred sixty-five million, four hundred fifty-five thousand, four hundred".