480417280 has 320 divisors, whose sum is σ = 1484904960. Its totient is φ = 145096704.

The previous prime is 480417257. The next prime is 480417319. The reversal of 480417280 is 82714084.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5788119 + ... + 5788201.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^480417280 is an apocalyptic number.

480417280 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 480417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

480417280 is an abundant number, since it is smaller than the sum of its proper divisors (1004487680).

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

480417280 is a wasteful number, since it uses less digits than its factorization.

480417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

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

The square root of 480417280 is about 21918.4233009585. The cubic root of 480417280 is about 783.2003508474.

The spelling of 480417280 in words is "four hundred eighty million, four hundred seventeen thousand, two hundred eighty".