470416128 has 288 divisors, whose sum is σ = 1582350336. Its totient is φ = 120766464.

The previous prime is 470416123. The next prime is 470416159. The reversal of 470416128 is 821614074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470416123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3704001 + ... + 3704127.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2^470416128 is an apocalyptic number.

470416128 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 470416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

470416128 is an abundant number, since it is smaller than the sum of its proper divisors (1111934208).

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

470416128 is a wasteful number, since it uses less digits than its factorization.

470416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 470416128 is about 21689.0785419759. The cubic root of 470416128 is about 777.7274021130.

The spelling of 470416128 in words is "four hundred seventy million, four hundred sixteen thousand, one hundred twenty-eight".