498976800 has 216 divisors, whose sum is σ = 1889785296. Its totient is φ = 114024960.

The previous prime is 498976771. The next prime is 498976801. The reversal of 498976800 is 8679894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (498976801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115479 + ... + 119721.

It is an arithmetic number, because the mean of its divisors is an integer number (8749006).

Almost surely, 2^498976800 is an apocalyptic number.

498976800 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 498976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944892648).

498976800 is an abundant number, since it is smaller than the sum of its proper divisors (1390808496).

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

498976800 is a wasteful number, since it uses less digits than its factorization.

498976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 498976800 is about 22337.7886103347. The cubic root of 498976800 is about 793.1587466647.

The spelling of 498976800 in words is "four hundred ninety-eight million, nine hundred seventy-six thousand, eight hundred".