470890000 has 225 divisors, whose sum is σ = 1370366811. Its totient is φ = 156240000.

The previous prime is 470889997. The next prime is 470890099. The reversal of 470890000 is 98074.

The square root of 470890000 is 21700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 36917776 + 433972224 = 6076^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15189985 + ... + 15190015.

Almost surely, 2^470890000 is an apocalyptic number.

470890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

470890000 is the 21700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470890000

470890000 is an abundant number, since it is smaller than the sum of its proper divisors (899476811).

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

470890000 is an equidigital number, since it uses as much as digits as its factorization.

470890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 470890000 is about 777.9884614436.

Adding to 470890000 its product of nonzero digits (2016), we get a triangular number (470892016 = T₃₀₆₈₈).

The spelling of 470890000 in words is "four hundred seventy million, eight hundred ninety thousand".