470864232 has 192 divisors, whose sum is σ = 1466232000. Its totient is φ = 139594752.

The previous prime is 470864227. The next prime is 470864237. The reversal of 470864232 is 232468074.

470864232 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 642 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (470864227) and next prime (470864237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (470864237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185858 + ... + 1186254.

It is an arithmetic number, because the mean of its divisors is an integer number (7636625).

Almost surely, 2^470864232 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 470864232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733116000).

470864232 is an abundant number, since it is smaller than the sum of its proper divisors (995367768).

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

470864232 is a wasteful number, since it uses less digits than its factorization.

470864232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 470864232 is about 21699.4062591583. The cubic root of 470864232 is about 777.9742701800.

The spelling of 470864232 in words is "four hundred seventy million, eight hundred sixty-four thousand, two hundred thirty-two".