493362144 has 384 divisors, whose sum is σ = 1709890560. Its totient is φ = 136857600.

The previous prime is 493362131. The next prime is 493362161. The reversal of 493362144 is 441263394.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 493362099 and 493362108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8087874 + ... + 8087934.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^493362144 is an apocalyptic number.

493362144 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 493362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

493362144 is an abundant number, since it is smaller than the sum of its proper divisors (1216528416).

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

493362144 is a wasteful number, since it uses less digits than its factorization.

493362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 493362144 is about 22211.7568868381. The cubic root of 493362144 is about 790.1725543065.

The spelling of 493362144 in words is "four hundred ninety-three million, three hundred sixty-two thousand, one hundred forty-four".