470109120 has 224 divisors, whose sum is σ = 1624949760. Its totient is φ = 114462720.

The previous prime is 470109103. The next prime is 470109139. The reversal of 470109120 is 21901074.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1734585 + ... + 1734855.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2^470109120 is an apocalyptic number.

470109120 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 470109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812474880).

470109120 is an abundant number, since it is smaller than the sum of its proper divisors (1154840640).

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

470109120 is a wasteful number, since it uses less digits than its factorization.

470109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 470109120 is about 21681.9999077576. Note that the first 4 decimals coincide. The cubic root of 470109120 is about 777.5581757044.

The spelling of 470109120 in words is "four hundred seventy million, one hundred nine thousand, one hundred twenty".