493051776 has 256 divisors, whose sum is σ = 1586565120. Its totient is φ = 132710400.

The previous prime is 493051733. The next prime is 493051781. The reversal of 493051776 is 677150394.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082960 + ... + 5083056.

It is an arithmetic number, because the mean of its divisors is an integer number (6197520).

Almost surely, 2^493051776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793282560).

493051776 is an abundant number, since it is smaller than the sum of its proper divisors (1093513344).

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

493051776 is a wasteful number, since it uses less digits than its factorization.

493051776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 493051776 is about 22204.7692174452. The cubic root of 493051776 is about 790.0068236338.

The spelling of 493051776 in words is "four hundred ninety-three million, fifty-one thousand, seven hundred seventy-six".