498756480 has 128 divisors (see below), whose sum is σ = 1623905280. Its totient is φ = 130148352.

The previous prime is 498756463. The next prime is 498756481. The reversal of 498756480 is 84657894.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498756481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87477 + ... + 93003.

It is an arithmetic number, because the mean of its divisors is an integer number (12686760).

Almost surely, 2^498756480 is an apocalyptic number.

498756480 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 498756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811952640).

498756480 is an abundant number, since it is smaller than the sum of its proper divisors (1125148800).

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

498756480 is a wasteful number, since it uses less digits than its factorization.

498756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 498756480 is about 22332.8565123228. The cubic root of 498756480 is about 793.0419914294.

The spelling of 498756480 in words is "four hundred ninety-eight million, seven hundred fifty-six thousand, four hundred eighty".