480298897296 has 495 divisors, whose sum is σ = 1507778090427. Its totient is φ = 148198818240.

The previous prime is 480298897237. The next prime is 480298897303. The reversal of 480298897296 is 692798892084.

The square root of 480298897296 is 693036.

It is a perfect power (a square), and thus also a powerful number.

480298897296 is a `hidden beast` number, since 48 + 0 + 298 + 8 + 9 + 7 + 296 = 666.

It is a super-2 number, since 2×480298897296² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 15493512801 + ... + 15493512831.

Almost surely, 2^480298897296 is an apocalyptic number.

480298897296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

480298897296 is the 693036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480298897296

480298897296 is an abundant number, since it is smaller than the sum of its proper divisors (1027479193131).

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

480298897296 is an frugal number, since it uses more digits than its factorization.

480298897296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 480298897296 in words is "four hundred eighty billion, two hundred ninety-eight million, eight hundred ninety-seven thousand, two hundred ninety-six".