164205456 has 40 divisors (see below), whose sum is σ = 424660320. Its totient is φ = 54675456.

The previous prime is 164205427. The next prime is 164205469. The reversal of 164205456 is 654502461.

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, 76656 + ... + 78768.

It is an arithmetic number, because the mean of its divisors is an integer number (10616508).

Almost surely, 2^164205456 is an apocalyptic number.

164205456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164205456 is an abundant number, since it is smaller than the sum of its proper divisors (260454864).

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

164205456 is a wasteful number, since it uses less digits than its factorization.

164205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 164205456 is about 12814.2676731837. The cubic root of 164205456 is about 547.5988503987.

The spelling of 164205456 in words is "one hundred sixty-four million, two hundred five thousand, four hundred fifty-six".