493766400 has 108 divisors (see below), whose sum is σ = 1629595352. Its totient is φ = 131665920.

The previous prime is 493766381. The next prime is 493766407. The reversal of 493766400 is 4667394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6342 + ... + 32058.

Almost surely, 2^493766400 is an apocalyptic number.

493766400 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 493766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814797676).

493766400 is an abundant number, since it is smaller than the sum of its proper divisors (1135828952).

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

493766400 is a wasteful number, since it uses less digits than its factorization.

493766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746 (or 25727 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 493766400 is about 22220.8550690562. The cubic root of 493766400 is about 790.3883152124.

The spelling of 493766400 in words is "four hundred ninety-three million, seven hundred sixty-six thousand, four hundred".