470667456 has 224 divisors, whose sum is σ = 1597639680. Its totient is φ = 133097472.

The previous prime is 470667403. The next prime is 470667493. The reversal of 470667456 is 654766074.

It is a happy number.

470667456 is a `hidden beast` number, since 470 + 66 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2019916 + ... + 2020148.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^470667456 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 470667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

470667456 is an abundant number, since it is smaller than the sum of its proper divisors (1126972224).

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

470667456 is a wasteful number, since it uses less digits than its factorization.

470667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 470667456 is about 21694.8716520748. The cubic root of 470667456 is about 777.8658822522.

The spelling of 470667456 in words is "four hundred seventy million, six hundred sixty-seven thousand, four hundred fifty-six".