493478092800 has 2688 divisors, whose sum is σ = 2418288076800. Its totient is φ = 95551488000.

The previous prime is 493478092777. The next prime is 493478092837. The reversal of 493478092800 is 8290874394.

493478092800 is a `hidden beast` number, since 4 + 9 + 3 + 478 + 0 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8089804770 + ... + 8089804830.

Almost surely, 2^493478092800 is an apocalyptic number.

493478092800 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 493478092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209144038400).

493478092800 is an abundant number, since it is smaller than the sum of its proper divisors (1924809984000).

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

493478092800 is a wasteful number, since it uses less digits than its factorization.

493478092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 493478092800 in words is "four hundred ninety-three billion, four hundred seventy-eight million, ninety-two thousand, eight hundred".