164298400 has 72 divisors (see below), whose sum is σ = 458408160. Its totient is φ = 56328960.

The previous prime is 164298373. The next prime is 164298401. The reversal of 164298400 is 4892461.

It is not an unprimeable number, because it can be changed into a prime (164298401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9070 + ... + 20269.

It is an arithmetic number, because the mean of its divisors is an integer number (6366780).

Almost surely, 2^164298400 is an apocalyptic number.

164298400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164298400 is an abundant number, since it is smaller than the sum of its proper divisors (294109760).

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

164298400 is a wasteful number, since it uses less digits than its factorization.

164298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29366 (or 29353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 164298400 is about 12817.8937427332. The cubic root of 164298400 is about 547.7021486874.

The spelling of 164298400 in words is "one hundred sixty-four million, two hundred ninety-eight thousand, four hundred".