493802400 has 864 divisors, whose sum is σ = 2244231360. Its totient is φ = 92897280.

The previous prime is 493802399. The next prime is 493802443. The reversal of 493802400 is 4208394.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25989591 + ... + 25989609.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^493802400 is an apocalyptic number.

493802400 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 493802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122115680).

493802400 is an abundant number, since it is smaller than the sum of its proper divisors (1750428960).

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

493802400 is a wasteful number, since it uses less digits than its factorization.

493802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 493802400 is about 22221.6651041275. The cubic root of 493802400 is about 790.4075235451.

The spelling of 493802400 in words is "four hundred ninety-three million, eight hundred two thousand, four hundred".