493581948510 has 768 divisors, whose sum is σ = 1563722496000. Its totient is φ = 98951086080.

The previous prime is 493581948493. The next prime is 493581948511. The reversal of 493581948510 is 15849185394.

493581948510 = 33082² + 33083² + ... + 33526².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493581948511) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2955580447 + ... + 2955580613.

It is an arithmetic number, because the mean of its divisors is an integer number (2036097000).

Almost surely, 2^493581948510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493581948510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781861248000).

493581948510 is an abundant number, since it is smaller than the sum of its proper divisors (1070140547490).

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

493581948510 is a wasteful number, since it uses less digits than its factorization.

493581948510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 493581948510 in words is "four hundred ninety-three billion, five hundred eighty-one million, nine hundred forty-eight thousand, five hundred ten".