470032416 has 384 divisors, whose sum is σ = 1703116800. Its totient is φ = 123171840.

The previous prime is 470032397. The next prime is 470032421. The reversal of 470032416 is 614230074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 470032416.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4312170 + ... + 4312278.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^470032416 is an apocalyptic number.

470032416 is a gapful number since it is divisible by the number (46) 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 470032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851558400).

470032416 is an abundant number, since it is smaller than the sum of its proper divisors (1233084384).

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

470032416 is a wasteful number, since it uses less digits than its factorization.

470032416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 470032416 is about 21680.2309950794. The cubic root of 470032416 is about 777.5158840577.

The spelling of 470032416 in words is "four hundred seventy million, thirty-two thousand, four hundred sixteen".