470528416 has 48 divisors (see below), whose sum is σ = 959793408. Its totient is φ = 226828800.

The previous prime is 470528389. The next prime is 470528477. The reversal of 470528416 is 614825074.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327636 + ... + 329068.

It is an arithmetic number, because the mean of its divisors is an integer number (19995696).

Almost surely, 2^470528416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479896704).

470528416 is an abundant number, since it is smaller than the sum of its proper divisors (489264992).

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

470528416 is a wasteful number, since it uses less digits than its factorization.

470528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 470528416 is about 21691.6669714432. Note that the first 3 decimals coincide. The cubic root of 470528416 is about 777.7892781852.

The spelling of 470528416 in words is "four hundred seventy million, five hundred twenty-eight thousand, four hundred sixteen".