163382400 has 384 divisors, whose sum is σ = 627340800. Its totient is φ = 41472000.

The previous prime is 163382371. The next prime is 163382419. The reversal of 163382400 is 4283361.

It is a happy number.

163382400 is a `hidden beast` number, since 1 + 633 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678370 + ... + 2678430.

It is an arithmetic number, because the mean of its divisors is an integer number (1633700).

Almost surely, 2^163382400 is an apocalyptic number.

163382400 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 163382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313670400).

163382400 is an abundant number, since it is smaller than the sum of its proper divisors (463958400).

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

163382400 is a wasteful number, since it uses less digits than its factorization.

163382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

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

The square root of 163382400 is about 12782.1125014608. The cubic root of 163382400 is about 546.6823975908.

The spelling of 163382400 in words is "one hundred sixty-three million, three hundred eighty-two thousand, four hundred".