498718080 has 768 divisors, whose sum is σ = 2232576000. Its totient is φ = 104509440.

The previous prime is 498718067. The next prime is 498718097. The reversal of 498718080 is 80817894.

498718080 is a `hidden beast` number, since 498 + 7 + 1 + 80 + 80 = 666.

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

It is a congruent number.

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, 16087665 + ... + 16087695.

It is an arithmetic number, because the mean of its divisors is an integer number (2907000).

Almost surely, 2^498718080 is an apocalyptic number.

498718080 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 498718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116288000).

498718080 is an abundant number, since it is smaller than the sum of its proper divisors (1733857920).

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

498718080 is a wasteful number, since it uses less digits than its factorization.

498718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 498718080 is about 22331.9967759267. The cubic root of 498718080 is about 793.0216384146.

The spelling of 498718080 in words is "four hundred ninety-eight million, seven hundred eighteen thousand, eighty".