493628352 has 168 divisors, whose sum is σ = 1542775680. Its totient is φ = 138862080.

The previous prime is 493628351. The next prime is 493628353. The reversal of 493628352 is 253826394.

It is an interprime number because it is at equal distance from previous prime (493628351) and next prime (493628353).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493628351) 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, 667599 + ... + 668337.

Almost surely, 2^493628352 is an apocalyptic number.

493628352 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 493628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771387840).

493628352 is an abundant number, since it is smaller than the sum of its proper divisors (1049147328).

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

493628352 is a wasteful number, since it uses less digits than its factorization.

493628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 822 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 493628352 is about 22217.7485808081. The cubic root of 493628352 is about 790.3146490036.

The spelling of 493628352 in words is "four hundred ninety-three million, six hundred twenty-eight thousand, three hundred fifty-two".