493432800 has 288 divisors, whose sum is σ = 1916877312. Its totient is φ = 107796480.

The previous prime is 493432781. The next prime is 493432801. The reversal of 493432800 is 8234394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493432801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385762 + ... + 387038.

It is an arithmetic number, because the mean of its divisors is an integer number (6655824).

Almost surely, 2^493432800 is an apocalyptic number.

493432800 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 493432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958438656).

493432800 is an abundant number, since it is smaller than the sum of its proper divisors (1423444512).

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

493432800 is a wasteful number, since it uses less digits than its factorization.

493432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

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

The square root of 493432800 is about 22213.3473389312. The cubic root of 493432800 is about 790.2102735679.

The spelling of 493432800 in words is "four hundred ninety-three million, four hundred thirty-two thousand, eight hundred".