493867440 has 240 divisors, whose sum is σ = 1827311616. Its totient is φ = 118540800.

The previous prime is 493867433. The next prime is 493867441. The reversal of 493867440 is 44768394.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (493867441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005595 + ... + 1006085.

Almost surely, 2^493867440 is an apocalyptic number.

493867440 is a gapful number since it is divisible by the number (40) 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 493867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913655808).

493867440 is an abundant number, since it is smaller than the sum of its proper divisors (1333444176).

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

493867440 is a wasteful number, since it uses less digits than its factorization.

493867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 493867440 is about 22223.1284926313. The cubic root of 493867440 is about 790.4422242327.

The spelling of 493867440 in words is "four hundred ninety-three million, eight hundred sixty-seven thousand, four hundred forty".