168422400 has 396 divisors, whose sum is σ = 653353272. Its totient is φ = 41287680.

The previous prime is 168422381. The next prime is 168422453. The reversal of 168422400 is 4224861.

It is a super-2 number, since 2×168422400² = 56732209643520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3916779 + ... + 3916821.

It is an arithmetic number, because the mean of its divisors is an integer number (1649882).

Almost surely, 2^168422400 is an apocalyptic number.

168422400 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 168422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326676636).

168422400 is an abundant number, since it is smaller than the sum of its proper divisors (484930872).

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

168422400 is a wasteful number, since it uses less digits than its factorization.

168422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 168422400 is about 12977.7656012119. The cubic root of 168422400 is about 552.2468964839.

The spelling of 168422400 in words is "one hundred sixty-eight million, four hundred twenty-two thousand, four hundred".