500249917440 has 1536 divisors, whose sum is σ = 2232292608000. Its totient is φ = 103450411008.

The previous prime is 500249917403. The next prime is 500249917457. The reversal of 500249917440 is 44719942005.

500249917440 is a `hidden beast` number, since 50 + 0 + 2 + 499 + 1 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1484420952 + ... + 1484421288.

It is an arithmetic number, because the mean of its divisors is an integer number (1453315500).

Almost surely, 2^500249917440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500249917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116146304000).

500249917440 is an abundant number, since it is smaller than the sum of its proper divisors (1732042690560).

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

500249917440 is a wasteful number, since it uses less digits than its factorization.

500249917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 500249917440 in words is "five hundred billion, two hundred forty-nine million, nine hundred seventeen thousand, four hundred forty".