493902640 has 240 divisors, whose sum is σ = 1489029696. Its totient is φ = 149022720.

The previous prime is 493902631. The next prime is 493902641. The reversal of 493902640 is 46209394.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 493902640.

It is not an unprimeable number, because it can be changed into a prime (493902641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507022 + ... + 2507218.

Almost surely, 2^493902640 is an apocalyptic number.

493902640 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 493902640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848).

493902640 is an abundant number, since it is smaller than the sum of its proper divisors (995127056).

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

493902640 is a wasteful number, since it uses less digits than its factorization.

493902640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 493902640 is about 22223.9204462219. The cubic root of 493902640 is about 790.4610031621.

The spelling of 493902640 in words is "four hundred ninety-three million, nine hundred two thousand, six hundred forty".