470535456 has 96 divisors (see below), whose sum is σ = 1321790400. Its totient is φ = 146119680.

The previous prime is 470535427. The next prime is 470535473. The reversal of 470535456 is 654535074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×470535456³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109150 + ... + 113378.

It is an arithmetic number, because the mean of its divisors is an integer number (13768650).

Almost surely, 2^470535456 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 470535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660895200).

470535456 is an abundant number, since it is smaller than the sum of its proper divisors (851254944).

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

470535456 is a wasteful number, since it uses less digits than its factorization.

470535456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 470535456 is about 21691.8292451328. The cubic root of 470535456 is about 777.7931572348.

The spelling of 470535456 in words is "four hundred seventy million, five hundred thirty-five thousand, four hundred fifty-six".