470040480 has 576 divisors, whose sum is σ = 2100204288. Its totient is φ = 92897280.

The previous prime is 470040479. The next prime is 470040533. The reversal of 470040480 is 84040074.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227575 + ... + 2227785.

It is an arithmetic number, because the mean of its divisors is an integer number (3646188).

Almost surely, 2^470040480 is an apocalyptic number.

470040480 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 470040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050102144).

470040480 is an abundant number, since it is smaller than the sum of its proper divisors (1630163808).

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

470040480 is a wasteful number, since it uses less digits than its factorization.

470040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 470040480 is about 21680.4169701600. The cubic root of 470040480 is about 777.5203304548.

The spelling of 470040480 in words is "four hundred seventy million, forty thousand, four hundred eighty".