493910040 has 256 divisors, whose sum is σ = 1685376000. Its totient is φ = 114960384.

The previous prime is 493910023. The next prime is 493910041. The reversal of 493910040 is 40019394.

It is a super-2 number, since 2×493910040² = 487894255225603200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493910041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2481861 + ... + 2482059.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2^493910040 is an apocalyptic number.

493910040 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 493910040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842688000).

493910040 is an abundant number, since it is smaller than the sum of its proper divisors (1191465960).

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

493910040 is a wasteful number, since it uses less digits than its factorization.

493910040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 493910040 is about 22224.0869328753. The cubic root of 493910040 is about 790.4649508917.

The spelling of 493910040 in words is "four hundred ninety-three million, nine hundred ten thousand, forty".