470895120 has 120 divisors (see below), whose sum is σ = 1640061696. Its totient is φ = 125566848.

The previous prime is 470895119. The next prime is 470895143. The reversal of 470895120 is 21598074.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7329 + ... + 31551.

Almost surely, 2^470895120 is an apocalyptic number.

470895120 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 470895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820030848).

470895120 is an abundant number, since it is smaller than the sum of its proper divisors (1169166576).

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

470895120 is a wasteful number, since it uses less digits than its factorization.

470895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24251 (or 24233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 470895120 is about 21700.1179720296. The cubic root of 470895120 is about 777.9912811301.

The spelling of 470895120 in words is "four hundred seventy million, eight hundred ninety-five thousand, one hundred twenty".