470735760 has 160 divisors (see below), whose sum is σ = 1631145600. Its totient is φ = 111308800.

The previous prime is 470735717. The next prime is 470735761. The reversal of 470735760 is 67537074.

It is not an unprimeable number, because it can be changed into a prime (470735761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106066 + ... + 110414.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^470735760 is an apocalyptic number.

470735760 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 470735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815572800).

470735760 is an abundant number, since it is smaller than the sum of its proper divisors (1160409840).

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

470735760 is a wasteful number, since it uses less digits than its factorization.

470735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 470735760 is about 21696.4457918803. The cubic root of 470735760 is about 777.9035088047.

The spelling of 470735760 in words is "four hundred seventy million, seven hundred thirty-five thousand, seven hundred sixty".