493744944 has 320 divisors, whose sum is σ = 1714176000. Its totient is φ = 118609920.

The previous prime is 493744943. The next prime is 493744961. The reversal of 493744944 is 449447394.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1741824) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 493744893 and 493744902.

It is not an unprimeable number, because it can be changed into a prime (493744943) 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 63 ways as a sum of consecutive naturals, for example, 5547652 + ... + 5547740.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^493744944 is an apocalyptic number.

493744944 is a gapful number since it is divisible by the number (44) 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 493744944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

493744944 is an abundant number, since it is smaller than the sum of its proper divisors (1220431056).

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

493744944 is a wasteful number, since it uses less digits than its factorization.

493744944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 493744944 is about 22220.3722741092. The cubic root of 493744944 is about 790.3768666021.

The spelling of 493744944 in words is "four hundred ninety-three million, seven hundred forty-four thousand, nine hundred forty-four".