480223832760 has 256 divisors, whose sum is σ = 1829928960000. Its totient is φ = 109735160832.

The previous prime is 480223832743. The next prime is 480223832791. The reversal of 480223832760 is 67238322084.

480223832760 is a `hidden beast` number, since 4 + 80 + 223 + 83 + 276 + 0 = 666.

It is a super-2 number, since 2×480223832760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38693436 + ... + 38705844.

It is an arithmetic number, because the mean of its divisors is an integer number (7148160000).

Almost surely, 2^480223832760 is an apocalyptic number.

480223832760 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 480223832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914964480000).

480223832760 is an abundant number, since it is smaller than the sum of its proper divisors (1349705127240).

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

480223832760 is a wasteful number, since it uses less digits than its factorization.

480223832760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17555 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 480223832760 in words is "four hundred eighty billion, two hundred twenty-three million, eight hundred thirty-two thousand, seven hundred sixty".