493989440 has 112 divisors (see below), whose sum is σ = 1361066112. Its totient is φ = 167264256.

The previous prime is 493989439. The next prime is 493989491. The reversal of 493989440 is 44989394.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184592 + ... + 187248.

It is an arithmetic number, because the mean of its divisors is an integer number (12152376).

Almost surely, 2^493989440 is an apocalyptic number.

493989440 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 493989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680533056).

493989440 is an abundant number, since it is smaller than the sum of its proper divisors (867076672).

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

493989440 is a wasteful number, since it uses less digits than its factorization.

493989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 493989440 is about 22225.8732111924. The cubic root of 493989440 is about 790.5073064822.

The spelling of 493989440 in words is "four hundred ninety-three million, nine hundred eighty-nine thousand, four hundred forty".