470678208 has 448 divisors, whose sum is σ = 1747845120. Its totient is φ = 107827200.

The previous prime is 470678179. The next prime is 470678209. The reversal of 470678208 is 802876074.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 470678208.

It is not an unprimeable number, because it can be changed into a prime (470678209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957913 + ... + 5957991.

It is an arithmetic number, because the mean of its divisors is an integer number (3901440).

Almost surely, 2^470678208 is an apocalyptic number.

470678208 is a gapful number since it is divisible by the number (48) 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 470678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873922560).

470678208 is an abundant number, since it is smaller than the sum of its proper divisors (1277166912).

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

470678208 is a wasteful number, since it uses less digits than its factorization.

470678208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 470678208 is about 21695.1194511577. The cubic root of 470678208 is about 777.8718054365.

The spelling of 470678208 in words is "four hundred seventy million, six hundred seventy-eight thousand, two hundred eight".