470109640 has 256 divisors, whose sum is σ = 1451520000. Its totient is φ = 132295680.

The previous prime is 470109617. The next prime is 470109641. The reversal of 470109640 is 46901074.

470109640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (470109641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362261 + ... + 2362459.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^470109640 is an apocalyptic number.

470109640 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 470109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

470109640 is an abundant number, since it is smaller than the sum of its proper divisors (981410360).

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

470109640 is a wasteful number, since it uses less digits than its factorization.

470109640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 470109640 is about 21682.0118992680. The cubic root of 470109640 is about 777.5584623967.

The spelling of 470109640 in words is "four hundred seventy million, one hundred nine thousand, six hundred forty".