493238400 has 192 divisors, whose sum is σ = 1639180800. Its totient is φ = 130355200.

The previous prime is 493238393. The next prime is 493238413. The reversal of 493238400 is 4832394.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1833466 + ... + 1833734.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2^493238400 is an apocalyptic number.

493238400 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 493238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

493238400 is an abundant number, since it is smaller than the sum of its proper divisors (1145942400).

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

493238400 is a wasteful number, since it uses less digits than its factorization.

493238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 493238400 is about 22208.9711603217. The cubic root of 493238400 is about 790.1064856726.

The spelling of 493238400 in words is "four hundred ninety-three million, two hundred thirty-eight thousand, four hundred".