470975232 has 288 divisors, whose sum is σ = 1615315968. Its totient is φ = 118407168.

The previous prime is 470975207. The next prime is 470975269. The reversal of 470975232 is 232579074.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607278 + ... + 1607570.

It is an arithmetic number, because the mean of its divisors is an integer number (5608736).

Almost surely, 2^470975232 is an apocalyptic number.

470975232 is a gapful number since it is divisible by the number (42) 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 470975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807657984).

470975232 is an abundant number, since it is smaller than the sum of its proper divisors (1144340736).

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

470975232 is a wasteful number, since it uses less digits than its factorization.

470975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 470975232 is about 21701.9637821097. The cubic root of 470975232 is about 778.0353977502.

The spelling of 470975232 in words is "four hundred seventy million, nine hundred seventy-five thousand, two hundred thirty-two".