493510752 has 144 divisors (see below), whose sum is σ = 1674555120. Its totient is φ = 140990976.

The previous prime is 493510723. The next prime is 493510753. The reversal of 493510752 is 257015394.

493510752 is a `hidden beast` number, since 4 + 93 + 510 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493510753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36508 + ... + 48164.

It is an arithmetic number, because the mean of its divisors is an integer number (11628855).

Almost surely, 2^493510752 is an apocalyptic number.

493510752 is a gapful number since it is divisible by the number (42) 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 493510752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837277560).

493510752 is an abundant number, since it is smaller than the sum of its proper divisors (1181044368).

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

493510752 is a wasteful number, since it uses less digits than its factorization.

493510752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11690 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 493510752 is about 22215.1018903808. The cubic root of 493510752 is about 790.2518835756.

The spelling of 493510752 in words is "four hundred ninety-three million, five hundred ten thousand, seven hundred fifty-two".