470166400 has 288 divisors, whose sum is σ = 1373383080. Its totient is φ = 157593600.

The previous prime is 470166373. The next prime is 470166401. The reversal of 470166400 is 4661074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470166401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12707182 + ... + 12707218.

Almost surely, 2^470166400 is an apocalyptic number.

470166400 is a gapful number since it is divisible by the number (40) 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 470166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686691540).

470166400 is an abundant number, since it is smaller than the sum of its proper divisors (903216680).

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

470166400 is a wasteful number, since it uses less digits than its factorization.

470166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 470166400 is about 21683.3207788844. The cubic root of 470166400 is about 777.5897547014.

The spelling of 470166400 in words is "four hundred seventy million, one hundred sixty-six thousand, four hundred".