164306400 has 144 divisors (see below), whose sum is σ = 538965504. Its totient is φ = 43476480.

The previous prime is 164306383. The next prime is 164306419. The reversal of 164306400 is 4603461.

164306400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535047 + ... + 535353.

It is an arithmetic number, because the mean of its divisors is an integer number (3742816).

Almost surely, 2^164306400 is an apocalyptic number.

164306400 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 164306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269482752).

164306400 is an abundant number, since it is smaller than the sum of its proper divisors (374659104).

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

164306400 is a wasteful number, since it uses less digits than its factorization.

164306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164306400 is about 12818.2058026855. The cubic root of 164306400 is about 547.7110380945.

Adding to 164306400 its reverse (4603461), we get a palindrome (168909861).

The spelling of 164306400 in words is "one hundred sixty-four million, three hundred six thousand, four hundred".