164812400 has 30 divisors (see below), whose sum is σ = 395962752. Its totient is φ = 65924800.

The previous prime is 164812381. The next prime is 164812447. The reversal of 164812400 is 4218461.

164812400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164812400.

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, 205616 + ... + 206415.

Almost surely, 2^164812400 is an apocalyptic number.

164812400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164812400 is an abundant number, since it is smaller than the sum of its proper divisors (231150352).

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

164812400 is a wasteful number, since it uses less digits than its factorization.

164812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412049 (or 412038 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 164812400 is about 12837.9281817589. The cubic root of 164812400 is about 548.2727077852.

It can be divided in two parts, 16481 and 2400, that added together give a palindrome (18881).

The spelling of 164812400 in words is "one hundred sixty-four million, eight hundred twelve thousand, four hundred".