499050032400 has 180 divisors, whose sum is σ = 1735637548372. Its totient is φ = 132788367360.

The previous prime is 499050032399. The next prime is 499050032443. The reversal of 499050032400 is 4230050994.

499050032400 is a `hidden beast` number, since 49 + 90 + 500 + 3 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67054066704 + 431995965696 = 258948^2 + 657264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1493532 + ... + 1796868.

Almost surely, 2^499050032400 is an apocalyptic number.

499050032400 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 499050032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867818774186).

499050032400 is an abundant number, since it is smaller than the sum of its proper divisors (1236587515972).

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

499050032400 is a wasteful number, since it uses less digits than its factorization.

499050032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303818 (or 303804 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 499050032400 in words is "four hundred ninety-nine billion, fifty million, thirty-two thousand, four hundred".