493574400 has 648 divisors, whose sum is σ = 2075804640. Its totient is φ = 110592000.

The previous prime is 493574399. The next prime is 493574407. The reversal of 493574400 is 4475394.

493574400 is a `hidden beast` number, since 49 + 3 + 574 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (493574407) 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 71 ways as a sum of consecutive naturals, for example, 12038380 + ... + 12038420.

Almost surely, 2^493574400 is an apocalyptic number.

493574400 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 493574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037902320).

493574400 is an abundant number, since it is smaller than the sum of its proper divisors (1582230240).

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

493574400 is a wasteful number, since it uses less digits than its factorization.

493574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 493574400 is about 22216.5343832021. The cubic root of 493574400 is about 790.2858550001.

The spelling of 493574400 in words is "four hundred ninety-three million, five hundred seventy-four thousand, four hundred".