493646400 has 420 divisors, whose sum is σ = 1960767732. Its totient is φ = 121098240.

The previous prime is 493646393. The next prime is 493646411. The reversal of 493646400 is 4646394.

493646400 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 491774976 = 1368^2 + 22176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1684654 + ... + 1684946.

Almost surely, 2^493646400 is an apocalyptic number.

493646400 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 493646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980383866).

493646400 is an abundant number, since it is smaller than the sum of its proper divisors (1467121332).

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

493646400 is a wasteful number, since it uses less digits than its factorization.

493646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493646400 is about 22218.1547388616. The cubic root of 493646400 is about 790.3242806930.

The spelling of 493646400 in words is "four hundred ninety-three million, six hundred forty-six thousand, four hundred".