164270400 has 168 divisors, whose sum is σ = 616061760. Its totient is φ = 37539840.

The previous prime is 164270389. The next prime is 164270401. The reversal of 164270400 is 4072461.

164270400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164270401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31156 + ... + 36044.

Almost surely, 2^164270400 is an apocalyptic number.

164270400 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 164270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308030880).

164270400 is an abundant number, since it is smaller than the sum of its proper divisors (451791360).

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

164270400 is a wasteful number, since it uses less digits than its factorization.

164270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 164270400 is about 12816.8014730665. The cubic root of 164270400 is about 547.6710334901.

The spelling of 164270400 in words is "one hundred sixty-four million, two hundred seventy thousand, four hundred".