493488400 has 30 divisors (see below), whose sum is σ = 1185606842. Its totient is φ = 197395200.

The previous prime is 493488371. The next prime is 493488403. The reversal of 493488400 is 4884394.

It can be written as a sum of positive squares in 3 ways, for example, as 22771984 + 470716416 = 4772^2 + 21696^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (493488403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616461 + ... + 617260.

Almost surely, 2^493488400 is an apocalyptic number.

493488400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493488400 is an abundant number, since it is smaller than the sum of its proper divisors (692118442).

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

493488400 is a wasteful number, since it uses less digits than its factorization.

493488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233739 (or 1233728 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 493488400 is about 22214.5988034896. The cubic root of 493488400 is about 790.2399527469.

The spelling of 493488400 in words is "four hundred ninety-three million, four hundred eighty-eight thousand, four hundred".