498346426800 has 180 divisors, whose sum is σ = 1733016966720. Its totient is φ = 132614484480.

The previous prime is 498346426751. The next prime is 498346426801. The reversal of 498346426800 is 8624643894.

498346426800 is a `hidden beast` number, since 4 + 9 + 83 + 464 + 26 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×498346426800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (498346426801) 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, 1579902 + ... + 1868898.

Almost surely, 2^498346426800 is an apocalyptic number.

498346426800 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 498346426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866508483360).

498346426800 is an abundant number, since it is smaller than the sum of its proper divisors (1234670539920).

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

498346426800 is a wasteful number, since it uses less digits than its factorization.

498346426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289500 (or 289486 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 498346426800 in words is "four hundred ninety-eight billion, three hundred forty-six million, four hundred twenty-six thousand, eight hundred".