480254282496 has 648 divisors, whose sum is σ = 1538797806000. Its totient is φ = 149149900800.

The previous prime is 480254282491. The next prime is 480254282509. The reversal of 480254282496 is 694282452084.

480254282496 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 542 + 8 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480254282491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3223183030 + ... + 3223183178.

Almost surely, 2^480254282496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480254282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769398903000).

480254282496 is an abundant number, since it is smaller than the sum of its proper divisors (1058543523504).

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

480254282496 is an equidigital number, since it uses as much as digits as its factorization.

480254282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 480254282496 in words is "four hundred eighty billion, two hundred fifty-four million, two hundred eighty-two thousand, four hundred ninety-six".