499904217600 has 240 divisors, whose sum is σ = 1696039654848. Its totient is φ = 129704509440.

The previous prime is 499904217581. The next prime is 499904217607. The reversal of 499904217600 is 6712409994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (499904217607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244877 + ... + 1596723.

Almost surely, 2^499904217600 is an apocalyptic number.

499904217600 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 499904217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848019827424).

499904217600 is an abundant number, since it is smaller than the sum of its proper divisors (1196135437248).

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

499904217600 is a wasteful number, since it uses less digits than its factorization.

499904217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351915 (or 351894 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 499904217600 in words is "four hundred ninety-nine billion, nine hundred four million, two hundred seventeen thousand, six hundred".