493041600 has 336 divisors, whose sum is σ = 1831177440. Its totient is φ = 129024000.

The previous prime is 493041587. The next prime is 493041623. The reversal of 493041600 is 6140394.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4363144 + ... + 4363256.

Almost surely, 2^493041600 is an apocalyptic number.

493041600 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 493041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915588720).

493041600 is an abundant number, since it is smaller than the sum of its proper divisors (1338135840).

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

493041600 is a wasteful number, since it uses less digits than its factorization.

493041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493041600 is about 22204.5400762997. The cubic root of 493041600 is about 790.0013886639.

Adding to 493041600 its reverse (6140394), we get a palindrome (499181994).

The spelling of 493041600 in words is "four hundred ninety-three million, forty-one thousand, six hundred".