163328400 has 225 divisors, whose sum is σ = 594544753. Its totient is φ = 42940800.

The previous prime is 163328393. The next prime is 163328411. The reversal of 163328400 is 4823361.

It is a happy number.

The square root of 163328400 is 12780.

It is a perfect power (a square), and thus also a powerful number.

163328400 is a `hidden beast` number, since 1 + 633 + 28 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58798224 + 104530176 = 7668^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2300365 + ... + 2300435.

Almost surely, 2^163328400 is an apocalyptic number.

163328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163328400 is the 12780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163328400

163328400 is an abundant number, since it is smaller than the sum of its proper divisors (431216353).

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

163328400 is an equidigital number, since it uses as much as digits as its factorization.

163328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 163328400 is about 546.6221624157.

The spelling of 163328400 in words is "one hundred sixty-three million, three hundred twenty-eight thousand, four hundred".