493542400 has 132 divisors (see below), whose sum is σ = 1318382632. Its totient is φ = 182108160.

The previous prime is 493542391. The next prime is 493542407. The reversal of 493542400 is 4245394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493542407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332059 + ... + 333541.

Almost surely, 2^493542400 is an apocalyptic number.

493542400 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 493542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659191316).

493542400 is an abundant number, since it is smaller than the sum of its proper divisors (824840232).

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

493542400 is a wasteful number, since it uses less digits than its factorization.

493542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 493542400 is about 22215.8141871956. The cubic root of 493542400 is about 790.2687757148.

Adding to 493542400 its reverse (4245394), we get a palindrome (497787794).

The spelling of 493542400 in words is "four hundred ninety-three million, five hundred forty-two thousand, four hundred".