480077280 has 240 divisors, whose sum is σ = 1794759120. Its totient is φ = 120434688.

The previous prime is 480077261. The next prime is 480077291. The reversal of 480077280 is 82770084.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219231 + ... + 221409.

It is an arithmetic number, because the mean of its divisors is an integer number (7478163).

Almost surely, 2^480077280 is an apocalyptic number.

480077280 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 480077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897379560).

480077280 is an abundant number, since it is smaller than the sum of its proper divisors (1314681840).

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

480077280 is a wasteful number, since it uses less digits than its factorization.

480077280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 480077280 is about 21910.6658958599. The cubic root of 480077280 is about 783.0155455583.

The spelling of 480077280 in words is "four hundred eighty million, seventy-seven thousand, two hundred eighty".