493612000 has 288 divisors, whose sum is σ = 1496529216. Its totient is φ = 156672000.

The previous prime is 493611991. The next prime is 493612003. The reversal of 493612000 is 216394.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493612003) 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, 8091970 + ... + 8092030.

It is an arithmetic number, because the mean of its divisors is an integer number (5196282).

Almost surely, 2^493612000 is an apocalyptic number.

493612000 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 493612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748264608).

493612000 is an abundant number, since it is smaller than the sum of its proper divisors (1002917216).

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

493612000 is a wasteful number, since it uses less digits than its factorization.

493612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 493612000 is about 22217.3805836782. The cubic root of 493612000 is about 790.3059222170.

Adding to 493612000 its reverse (216394), we get a palindrome (493828394).

The spelling of 493612000 in words is "four hundred ninety-three million, six hundred twelve thousand".