470351232 has 384 divisors, whose sum is σ = 1632204000. Its totient is φ = 132378624.

The previous prime is 470351209. The next prime is 470351239. The reversal of 470351232 is 232153074.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 470351196 and 470351205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470351239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16218994 + ... + 16219022.

Almost surely, 2^470351232 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 470351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816102000).

470351232 is an abundant number, since it is smaller than the sum of its proper divisors (1161852768).

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

470351232 is a wasteful number, since it uses less digits than its factorization.

470351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 470351232 is about 21687.5824378837. The cubic root of 470351232 is about 777.6916368153.

The spelling of 470351232 in words is "four hundred seventy million, three hundred fifty-one thousand, two hundred thirty-two".