498200976 has 640 divisors, whose sum is σ = 1999872000. Its totient is φ = 114960384.

The previous prime is 498200921. The next prime is 498200977. The reversal of 498200976 is 679002894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (498200977) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17179330 + ... + 17179358.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^498200976 is an apocalyptic number.

498200976 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 498200976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

498200976 is an abundant number, since it is smaller than the sum of its proper divisors (1501671024).

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

498200976 is a wasteful number, since it uses less digits than its factorization.

498200976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 498200976 is about 22320.4161251532. The cubic root of 498200976 is about 792.7474578101.

The spelling of 498200976 in words is "four hundred ninety-eight million, two hundred thousand, nine hundred seventy-six".