480287740 has 48 divisors (see below), whose sum is σ = 1079017632. Its totient is φ = 178937856.

The previous prime is 480287737. The next prime is 480287741. The reversal of 480287740 is 47782084.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 480287693 and 480287702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480287741) 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, 25699 + ... + 40261.

It is an arithmetic number, because the mean of its divisors is an integer number (22479534).

Almost surely, 2^480287740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480287740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539508816).

480287740 is an abundant number, since it is smaller than the sum of its proper divisors (598729892).

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

480287740 is a wasteful number, since it uses less digits than its factorization.

480287740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 480287740 is about 21915.4680534092. The cubic root of 480287740 is about 783.1299503172.

The spelling of 480287740 in words is "four hundred eighty million, two hundred eighty-seven thousand, seven hundred forty".