168470400 has 384 divisors, whose sum is σ = 667814400. Its totient is φ = 36495360.

The previous prime is 168470381. The next prime is 168470413. The reversal of 168470400 is 4074861.

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 (30).

It is a congruent number.

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, 1545546 + ... + 1545654.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^168470400 is an apocalyptic number.

168470400 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 168470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333907200).

168470400 is an abundant number, since it is smaller than the sum of its proper divisors (499344000).

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

168470400 is a wasteful number, since it uses less digits than its factorization.

168470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 168470400 is about 12979.6147862716. The cubic root of 168470400 is about 552.2993545362.

The spelling of 168470400 in words is "one hundred sixty-eight million, four hundred seventy thousand, four hundred".