493948416 has 160 divisors (see below), whose sum is σ = 1467718560. Its totient is φ = 146571264.

The previous prime is 493948397. The next prime is 493948417. The reversal of 493948416 is 614849394.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493948417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578646 + ... + 579498.

It is an arithmetic number, because the mean of its divisors is an integer number (9173241).

Almost surely, 2^493948416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733859280).

493948416 is an abundant number, since it is smaller than the sum of its proper divisors (973770144).

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

493948416 is a wasteful number, since it uses less digits than its factorization.

493948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 900 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 493948416 is about 22224.9503036565. The cubic root of 493948416 is about 790.4854229715.

The spelling of 493948416 in words is "four hundred ninety-three million, nine hundred forty-eight thousand, four hundred sixteen".