164092400 has 30 divisors (see below), whose sum is σ = 394232952. Its totient is φ = 65636800.

The previous prime is 164092391. The next prime is 164092427. The reversal of 164092400 is 4290461.

It is a self number, because there is not a number n which added to its sum of digits gives 164092400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204716 + ... + 205515.

Almost surely, 2^164092400 is an apocalyptic number.

164092400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164092400 is an abundant number, since it is smaller than the sum of its proper divisors (230140552).

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

164092400 is a wasteful number, since it uses less digits than its factorization.

164092400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410249 (or 410238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 164092400 is about 12809.8555807628. The cubic root of 164092400 is about 547.4731470049.

The spelling of 164092400 in words is "one hundred sixty-four million, ninety-two thousand, four hundred".