470221840 has 80 divisors (see below), whose sum is σ = 1218136320. Its totient is φ = 167336960.

The previous prime is 470221837. The next prime is 470221841. The reversal of 470221840 is 48122074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×470221840² = 442217157625971200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 470221799 and 470221808.

It is not an unprimeable number, because it can be changed into a prime (470221841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35676 + ... + 47044.

It is an arithmetic number, because the mean of its divisors is an integer number (15226704).

Almost surely, 2^470221840 is an apocalyptic number.

470221840 is a gapful number since it is divisible by the number (40) 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 470221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609068160).

470221840 is an abundant number, since it is smaller than the sum of its proper divisors (747914480).

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

470221840 is a wasteful number, since it uses less digits than its factorization.

470221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 470221840 is about 21684.5991431707. The cubic root of 470221840 is about 777.6203168468.

The spelling of 470221840 in words is "four hundred seventy million, two hundred twenty-one thousand, eight hundred forty".