480266496 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 142331904.

The previous prime is 480266491. The next prime is 480266509. The reversal of 480266496 is 694662084.

480266496 is a `hidden beast` number, since 480 + 26 + 64 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (480266491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9061606 + ... + 9061658.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^480266496 is an apocalyptic number.

480266496 is a gapful number since it is divisible by the number (46) 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 480266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

480266496 is an abundant number, since it is smaller than the sum of its proper divisors (1122393024).

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

480266496 is a wasteful number, since it uses less digits than its factorization.

480266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 480266496 is about 21914.9833675502. The cubic root of 480266496 is about 783.1184037264.

The spelling of 480266496 in words is "four hundred eighty million, two hundred sixty-six thousand, four hundred ninety-six".