493950000 has 240 divisors, whose sum is σ = 1656456480. Its totient is φ = 126720000.

The previous prime is 493949971. The next prime is 493950019. The reversal of 493950000 is 59394.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 493950000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5549956 + ... + 5550044.

It is an arithmetic number, because the mean of its divisors is an integer number (6901902).

Almost surely, 2^493950000 is an apocalyptic number.

493950000 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 493950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828228240).

493950000 is an abundant number, since it is smaller than the sum of its proper divisors (1162506480).

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

493950000 is an equidigital number, since it uses as much as digits as its factorization.

493950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 493950000 is about 22224.9859392531. The cubic root of 493950000 is about 790.4862679502.

The spelling of 493950000 in words is "four hundred ninety-three million, nine hundred fifty thousand".