480432126720 has 864 divisors, whose sum is σ = 1933885533888. Its totient is φ = 100750196736.

The previous prime is 480432126703. The next prime is 480432126737. The reversal of 480432126720 is 27621234084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480432126703) and next prime (480432126737).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481877262 + ... + 481878258.

It is an arithmetic number, because the mean of its divisors is an integer number (2238293442).

Almost surely, 2^480432126720 is an apocalyptic number.

480432126720 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 480432126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966942766944).

480432126720 is an abundant number, since it is smaller than the sum of its proper divisors (1453453407168).

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

480432126720 is a wasteful number, since it uses less digits than its factorization.

480432126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 480432126720 in words is "four hundred eighty billion, four hundred thirty-two million, one hundred twenty-six thousand, seven hundred twenty".