470000960 has 112 divisors (see below), whose sum is σ = 1314980352. Its totient is φ = 157747200.

The previous prime is 470000933. The next prime is 470000969. The reversal of 470000960 is 69000074.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470000969) 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, 40625 + ... + 50895.

It is an arithmetic number, because the mean of its divisors is an integer number (11740896).

Almost surely, 2^470000960 is an apocalyptic number.

470000960 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 470000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657490176).

470000960 is an abundant number, since it is smaller than the sum of its proper divisors (844979392).

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

470000960 is a wasteful number, since it uses less digits than its factorization.

470000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 470000960 is about 21679.5055294165. The cubic root of 470000960 is about 777.4985390942.

The spelling of 470000960 in words is "four hundred seventy million, nine hundred sixty", and thus it is an aban number.