493887400 has 96 divisors (see below), whose sum is σ = 1258011000. Its totient is φ = 179486720.

The previous prime is 493887397. The next prime is 493887409. The reversal of 493887400 is 4788394.

It can be written as a sum of positive squares in 12 ways, for example, as 73719396 + 420168004 = 8586^2 + 20498^2 .

It is not an unprimeable number, because it can be changed into a prime (493887409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96096 + ... + 101104.

Almost surely, 2^493887400 is an apocalyptic number.

493887400 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 493887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629005500).

493887400 is an abundant number, since it is smaller than the sum of its proper divisors (764123600).

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

493887400 is a wasteful number, since it uses less digits than its factorization.

493887400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 493887400 is about 22223.5775697794. The cubic root of 493887400 is about 790.4528728488.

The spelling of 493887400 in words is "four hundred ninety-three million, eight hundred eighty-seven thousand, four hundred".