493046400 has 768 divisors, whose sum is σ = 2185574400. Its totient is φ = 94617600.

The previous prime is 493046387. The next prime is 493046417. The reversal of 493046400 is 4640394.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17001586 + ... + 17001614.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^493046400 is an apocalyptic number.

493046400 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 493046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092787200).

493046400 is an abundant number, since it is smaller than the sum of its proper divisors (1692528000).

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

493046400 is a wasteful number, since it uses less digits than its factorization.

493046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 493046400 is about 22204.6481620403. The cubic root of 493046400 is about 790.0039523383.

Adding to 493046400 its reverse (4640394), we get a palindrome (497686794).

The spelling of 493046400 in words is "four hundred ninety-three million, forty-six thousand, four hundred".