470108800 has 192 divisors, whose sum is σ = 1372055040. Its totient is φ = 155750400.

The previous prime is 470108777. The next prime is 470108801. The reversal of 470108800 is 8801074.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470108801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694062 + ... + 694738.

It is an arithmetic number, because the mean of its divisors is an integer number (7146120).

Almost surely, 2^470108800 is an apocalyptic number.

470108800 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 470108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686027520).

470108800 is an abundant number, since it is smaller than the sum of its proper divisors (901946240).

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

470108800 is a wasteful number, since it uses less digits than its factorization.

470108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 470108800 is about 21681.9925283633. The cubic root of 470108800 is about 777.5579992782.

Adding to 470108800 its reverse (8801074), we get a palindrome (478909874).

The spelling of 470108800 in words is "four hundred seventy million, one hundred eight thousand, eight hundred".