480294720 has 168 divisors, whose sum is σ = 1673717760. Its totient is φ = 126397440.

The previous prime is 480294719. The next prime is 480294721. The reversal of 480294720 is 27492084.

It is an interprime number because it is at equal distance from previous prime (480294719) and next prime (480294721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480294721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226465 + ... + 228575.

Almost surely, 2^480294720 is an apocalyptic number.

480294720 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 480294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836858880).

480294720 is an abundant number, since it is smaller than the sum of its proper divisors (1193423040).

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

480294720 is a wasteful number, since it uses less digits than its factorization.

480294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480294720 is about 21915.6273010836. The cubic root of 480294720 is about 783.1337440295.

The spelling of 480294720 in words is "four hundred eighty million, two hundred ninety-four thousand, seven hundred twenty".