493769250 has 256 divisors, whose sum is σ = 1566190080. Its totient is φ = 114048000.

The previous prime is 493769249. The next prime is 493769281. The reversal of 493769250 is 52967394.

It is a happy number.

493769250 is a `hidden beast` number, since 493 + 76 + 92 + 5 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 493769196 and 493769205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491585 + ... + 1491915.

It is an arithmetic number, because the mean of its divisors is an integer number (6117930).

Almost surely, 2^493769250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493769250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

493769250 is an abundant number, since it is smaller than the sum of its proper divisors (1072420830).

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

493769250 is a wasteful number, since it uses less digits than its factorization.

493769250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 493769250 is about 22220.9191979090. The cubic root of 493769250 is about 790.3898359061.

The spelling of 493769250 in words is "four hundred ninety-three million, seven hundred sixty-nine thousand, two hundred fifty".