164053400 has 192 divisors, whose sum is σ = 473273280. Its totient is φ = 51609600.

The previous prime is 164053399. The next prime is 164053459. The reversal of 164053400 is 4350461.

164053400 = T₉₁ + T₉₂ + ... + T₉₉₄.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451744 + ... + 1451856.

It is an arithmetic number, because the mean of its divisors is an integer number (2464965).

Almost surely, 2^164053400 is an apocalyptic number.

164053400 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 164053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236636640).

164053400 is an abundant number, since it is smaller than the sum of its proper divisors (309219880).

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

164053400 is a wasteful number, since it uses less digits than its factorization.

164053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 164053400 is about 12808.3332248970. Note that the first 3 decimals coincide. The cubic root of 164053400 is about 547.4297707435.

The spelling of 164053400 in words is "one hundred sixty-four million, fifty-three thousand, four hundred".