470481280 has 64 divisors (see below), whose sum is σ = 1148748480. Its totient is φ = 184176640.

The previous prime is 470481257. The next prime is 470481283. The reversal of 470481280 is 82184074.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470481283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22260 + ... + 37900.

It is an arithmetic number, because the mean of its divisors is an integer number (17949195).

Almost surely, 2^470481280 is an apocalyptic number.

470481280 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 470481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574374240).

470481280 is an abundant number, since it is smaller than the sum of its proper divisors (678267200).

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

470481280 is a wasteful number, since it uses less digits than its factorization.

470481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15707 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 470481280 is about 21690.5804440545. The cubic root of 470481280 is about 777.7633051880.

It can be divided in two parts, 470 and 481280, that multiplied together give a square (226201600 = 15040²).

The spelling of 470481280 in words is "four hundred seventy million, four hundred eighty-one thousand, two hundred eighty".