470226816 has 128 divisors (see below), whose sum is σ = 1395360000. Its totient is φ = 155893248.

The previous prime is 470226791. The next prime is 470226829. The reversal of 470226816 is 618622074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×470226816² = 442226516970995712, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1240515 + ... + 1240893.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2^470226816 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 470226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

470226816 is an abundant number, since it is smaller than the sum of its proper divisors (925133184).

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

470226816 is a wasteful number, since it uses less digits than its factorization.

470226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 470226816 is about 21684.7138786750. The cubic root of 470226816 is about 777.6230598252.

The spelling of 470226816 in words is "four hundred seventy million, two hundred twenty-six thousand, eight hundred sixteen".