165408900 has 36 divisors (see below), whose sum is σ = 478583952. Its totient is φ = 44108960.

The previous prime is 165408871. The next prime is 165408911. The reversal of 165408900 is 9804561.

165408900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275382 + ... + 275981.

Almost surely, 2^165408900 is an apocalyptic number.

165408900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165408900 is an abundant number, since it is smaller than the sum of its proper divisors (313175052).

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

165408900 is a wasteful number, since it uses less digits than its factorization.

165408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551380 (or 551373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 165408900 is about 12861.1391408382. The cubic root of 165408900 is about 548.9333597501.

The spelling of 165408900 in words is "one hundred sixty-five million, four hundred eight thousand, nine hundred".