498760416000 has 3456 divisors, whose sum is σ = 2507036313600. Its totient is φ = 97542144000.

The previous prime is 498760415977. The next prime is 498760416019. The reversal of 498760416000 is 614067894.

498760416000 is a `hidden beast` number, since 498 + 7 + 60 + 41 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29338847992 + ... + 29338848008.

It is an arithmetic number, because the mean of its divisors is an integer number (725415600).

Almost surely, 2^498760416000 is an apocalyptic number.

498760416000 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 498760416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253518156800).

498760416000 is an abundant number, since it is smaller than the sum of its proper divisors (2008275897600).

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

498760416000 is an equidigital number, since it uses as much as digits as its factorization.

498760416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 498760416000 in words is "four hundred ninety-eight billion, seven hundred sixty million, four hundred sixteen thousand".