493010784 has 288 divisors, whose sum is σ = 1722389760. Its totient is φ = 130636800.

The previous prime is 493010779. The next prime is 493010807. The reversal of 493010784 is 487010394.

It is a happy number.

493010784 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2336439 + ... + 2336649.

It is an arithmetic number, because the mean of its divisors is an integer number (5980520).

Almost surely, 2^493010784 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 493010784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861194880).

493010784 is an abundant number, since it is smaller than the sum of its proper divisors (1229378976).

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

493010784 is a wasteful number, since it uses less digits than its factorization.

493010784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 493010784 is about 22203.8461533132. The cubic root of 493010784 is about 789.9849294780.

The spelling of 493010784 in words is "four hundred ninety-three million, ten thousand, seven hundred eighty-four".